Potential Analysis

Article	Citations
Compactness Characterizations of Commutators on Ball Banach Function Spaces	30
The Random Normal Matrix Model: Insertion of a Point Charge	15
Local Continuity and Harnack’s Inequality for Double-Phase Parabolic Equations	11
Harmonic Measure, Equilibrium Measure, and Thinness at Infinity in the Theory of Riesz Potentials	8
Riesz Potential and Maximal Function for Dunkl transform	7
Uniqueness of Dirichlet Forms Related to Infinite Systems of Interacting Brownian Motions	7
Generalized Superharmonic Functions with Strongly Nonlinear Operator	7
On Potential Theory of Markov Processes with Jump Kernels Decaying at the Boundary	6
Gradient Estimates in Fractional Dirichlet Problems	6
Asymptotics of Smoothed Wasserstein Distances	6
Large and Moderate Deviation Principles for McKean-Vlasov SDEs with Jumps	5
On the theory of balayage on locally compact spaces	5
Regularizing Properties of (Non-Gaussian) Transition Semigroups in Hilbert Spaces	5
Scattering Theory for a Class of Radial Focusing Inhomogeneous Hartree Equations	5
Weighted Estimates for Bilinear Bochner-Riesz Means at the Critical Index	5
Strong Feller Property for SDEs Driven by Multiplicative Cylindrical Stable Noise	5
On a Characterization Theorem for Locally Compact Abelian Groups Containing an Element of Order 2	5
Comparison Principle for Elliptic Equations with Mixed Singular Nonlinearities	4
Coincidence of Variable Exponent Herz Spaces with Variable Exponent Morrey Type Spaces and Boundedness of Sublinear Operators in these Spaces	4
Quantitative Heat-Kernel Estimates for Diffusions with Distributional Drift	4
Quantitative Estimates for Square Functions with New Class of Weights	4
Quantum Confinement for the Curvature Laplacian −Δ + cK on 2D-Almost-Riemannian Manifolds	4
Quasiconformal Harmonic Mappings Between the Unit Ball and a Spatial Domain with C1,α Boundary	4
Ergodic Decomposition of Dirichlet Forms via Direct Integrals and Applications	4
On the Theory of Capacities on Locally Compact Spaces and its Interaction with the Theory of Balayage	4

Trace and Density Results on Regular Trees	4
Gradient Estimates for a Weighted Γ-nonlinear Parabolic Equation Coupled with a Super Perelman-Ricci Flow and Implications	4
From A1 to $A_{\infty }$: New Mixed Inequalities for Certain Maximal Operators	4
A Comparison Theorem for Nonsmooth Nonlinear Operators	3
Regularity of Solutions to Kolmogorov Equations with Perturbed Drifts	3
Central Limit Theorems for Non-Symmetric Random Walks on Nilpotent Covering Graphs: Part II	3
Chiti-type Reverse Hölder Inequality and Torsional Rigidity Under Integral Ricci Curvature Condition	3
On Diffusion Processes with Drift in Ld+ 1	3
Analysis on Trees with Nondoubling Flow Measures	3
Large Deviations and Gradient Flows for the Brownian One-Dimensional Hard-Rod System	3
Wasserstein Convergence for Empirical Measures of Subordinated Diffusions on Riemannian Manifolds	3
On Lp-boundedness of Fourier Integral Operators	3
Higher Order Terms of the Spectral Heat Content for Killed Subordinate and Subordinate Killed Brownian Motions Related to Symmetric α-Stable Processes in ${\mathbb {R}}$	3
Scattering for Radial Defocusing Inhomogeneous Bi-Harmonic SchrÖDinger Equations	3
Extreme Points and Support Points of Families of Harmonic Bloch Mappings	3
Weighted Hardy-Sobolev, Log-Sobolev and Moser-Onofri-Beckner Inequalities with Monomial Weights	3
Radial Two Weight Inequality for Maximal Bergman Projection Induced by a Regular Weight	3
Asymptotic Log-Harnack Inequality and Ergodicity for 3D Leray-α Model with Degenerate Type Noise	3
Elliptic and Parabolic Boundary Value Problems in Weighted Function Spaces	3
Sharp Estimates for the Gaussian Torsional Rigidity with Robin Boundary Conditions	3
Boundedness of Singular Integral Operators on Local Hardy Spaces and Dual Spaces	3
The $L^{\infty }$-positivity Preserving Property and Stochastic Completeness	3
Leibniz-Type Rules for Bilinear and Biparameter Fourier Multiplier Operators with Applications	3
Anisotropic Singular Neumann Equations with Unbalanced Growth	3
Resistance Forms on Self-Similar Sets with Finite Ramification of Finite Type	3
Large Deviations Principles for Symplectic Discretizations of Stochastic Linear Schrödinger Equation	3
The non-Radial Focusing Inhomogeneous Coupled Schrödinger Systems in Three Space Dimensions	2
A Capacity-Based Condition for Existence of Solutions to Fractional Elliptic Equations with First-Order Terms and Measures	2
Sobolev-Type Inequalities on Cartan-Hadamard Manifolds and Applications to some Nonlinear Diffusion Equations	2
Regularity Theory for Second Order Integro-PDEs	2
Discrete Harmonic Functions in the Three-Quarter Plane	2
Hydrodynamics of the Generalized N-urn Ehrenfest Model	2
Universal Infinitesimal Hilbertianity of Sub-Riemannian Manifolds	2
Wolff Potential Estimates for Supersolutions of Equations with Generalized Orlicz Growth	2
Unconstrained Polarization (Chebyshev) Problems: Basic Properties and Riesz Kernel Asymptotics	2
Stationary Solutions of Fokker-Planck Equations with Nonlinear Reaction Terms in Bounded Domains	2
Time Regularity for Local Weak Solutions of the Heat Equation on Local Dirichlet Spaces	2
An Itô Formula for rough partial differential equations and some applications	2
On potentials of Itô’s Processes with Drift in Ld+ 1	2
Global Gaussian Estimates for the Heat Kernel of Homogeneous Sums of Squares	2
Finite Time Blowup in L2 Sense of Solutions to SPDEs with Bernstein Functions of the Laplacian	2
Schatten Classes and Commutator in the Two Weight Setting, I. Hilbert Transform	2
The Subelliptic Heat Kernel of the Octonionic Hopf Fibration	2
Diameter and Laplace Eigenvalue Estimates for Left-invariant Metrics on Compact Lie Groups	2
Transfinite Diameter with Generalized Polynomial Degree	2
On the Continuity and Compactness of Pseudodifferential Operators on Localizable Hardy Spaces	2
Discrete Harmonic Analysis Associated with Jacobi Expansions II: the Riesz Transform	2
Best Constants in Inequalities Involving Analytic and Co-Analytic Projections and Riesz’S Theorem in Various Function Spaces	2
Positive Solutions of the $\mathcal {A}$-Laplace Equation with a Potential	2
Normal Trace for a Vector Field of Bounded Mean Oscillation	2

On the Failure of Multilinear Multiplier Theorem with Endpoint Smoothness Conditions	2
The Eigenvalue Problem for the Regional Fractional Laplacian in the Small Order Limit	2
An Integration by Parts Formula for Functionals of the Dirichlet-Ferguson Measure, and Applications	2
Absolute Continuity of Solutions to Reaction-Diffusion Equations with Multiplicative Noise	2
Phase Transition of Logarithmic Capacity for the Uniform Gδ-Sets	2
On the Effective Impedance of Finite and Infinite Networks	2
Heat Kernels for a Class of Hybrid Evolution Equations	2
Uniform Large Deviations for a Class of Burgers-Type Stochastic Partial Differential Equations in any Space Dimension	2
Optimal Trapping for Brownian Motion: a Nonlinear Analogue of the Torsion Function	1
Harnack Inequalities for Functional SDEs Driven by Subordinate Brownian Motions	1
Two Theorems on Hunt’s Hypothesis (H) for Markov Processes	1
Capacities, Removable Sets and Lp-Uniqueness on Wiener Spaces	1
Asymptotic Behavior of Ground States and Local Uniqueness for Fractional Schrödinger Equations with Nearly Critical Growth	1
Convergence of p-Energy Forms on Homogeneous p.c.f Self-Similar Sets	1
Synchronization and Averaging Principle Of Stationary Solutions For Stochastic Differential Equations	1
Attainability of Second Order Adams Inequalities with Navier Boundary Conditions	1
Nonlinear Inequalities with Double Riesz Potentials	1
Linear Combination of Composition Operators on Bergman and Korenblum Spaces	1
Uniqueness of Conformal Metrics with Constant Q-Curvature on Closed Einstein Manifolds	1
The Berezin Transform of Toeplitz Operators on the Weighted Bergman Space	1
Calderón–Zygmund Operators on Local Hardy Spaces	1
The Robin Mean Value Equation I: A Random Walk Approach to the Third Boundary Value Problem	1
Interior Schauder Estimates for Elliptic Equations Associated with Lévy Operators	1
Log-Hessian and Deviation Bounds for Markov Semi-Groups, and Regularization Effect in $\mathbb {L}^{1}$	1
Desingularization of a Steady Vortex Pair in the Lake Equation	1
Characterization of Lipschitz Space via the Commutators of Fractional Maximal Functions on Variable Lebesgue Spaces	1
Extrapolation for Weighted Product Morrey Spaces and Some Applications	1
Classification of Nonnegative g −Harmonic Functions in Half-Spaces	1
Compactness of Semigroups Generated by Symmetric Non-Local Dirichlet Forms with Unbounded Coefficients	1
Hardy Factorization in Terms of Multilinear CalderÓN–Zygmund Operators using Morrey Spaces	1
The Regularity Problem for Uniformly Elliptic Operators in Weighted Spaces	1
Heat Flow and Concentration of Measure on Directed Graphs with a Lower Ricci Curvature Bound	1
On Some Operators Associated with Non-Degenerate Symmetric α-Stable Probability Measures	1
Stochastically Complete, Parabolic and L1-Liouville Spacelike Submanifolds with Parallel Mean Curvature Vector	1
Necessary cancellation conditions for the boundedness of operators on local Hardy spaces	1
Long-time Behaviour of Entropic Interpolations	1
Two-Sided Boundary Points of Sobolev Extension Domains on Euclidean Spaces	1
Off-Diagonal Estimates for Bilinear Commutators	1
Li-Yau Multiplier Set and Optimal Li-Yau Gradient Estimate on Hyperbolic Spaces	1
On Efficiency and Localisation for the Torsion Function	1
Feynman-Kac Formula for Iterated Derivatives of the Parabolic Anderson Model	1
Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator	1
Nonlinear Semigroups Built on Generating Families and their Lipschitz Sets	1
The Stochastic Klausmeier System and A Stochastic Schauder-Tychonoff Type Theorem	1
Boundedness of Operators Related to a Degenerate Schrödinger Semigroup	1
Parabolic Muckenhoupt Weights with Time Lag on Spaces of Homogeneous Type with Monotone Geodesic Property	1
C1,α Regularity for Degenerate Fully Nonlinear Elliptic Equations with Neumann Boundary Conditions	1
Functional Inequalities for Two-Level Concentration	1
On Solvability of Integro-Differential Equations	1
Hölder Continuity of Weak Solutions to Nonlocal Schrödinger Equations with A1-Muckenhoupt Potentials	1
The Weighted Hp Estimates for Commutators of Fractional Integrals	1
A Trace Inequality for Solenoidal Charges	1
On Gegenbauer Point Processes on the Unit Interval	1
Stability Results for Symmetric Jump Processes on Metric Measure Spaces with Atoms	1
First Dirichlet Eigenvalue and Exit Time Moment Spectra Comparisons	1
Besov Reconstruction	1
Large Intersection Property for Limsup Sets in Metric Space	1
Improved Upper Bounds for the Hot Spots Constant of Lipschitz Domains	1
Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds	1
Mittag–Leffler Euler Integrator and Large Deviations for Stochastic Space-Time Fractional Diffusion Equations	1
Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces	1
Sharp Interface Limit of Stochastic Cahn-Hilliard Equation with Singular Noise	1
A Refined Green’s Function Estimate of the Time Measurable Parabolic Operators with Conic Domains	1
Potential Theory on Minimal Hypersurfaces II: Hardy Structures and Schrödinger Operators	1
Wasserstein Distance Estimates for Stochastic Integrals by Forward-Backward Stochastic Calculus	1
Uniform Estimates for Concave Homogeneous Complex Degenerate Elliptic Equations Comparable to the Monge-Ampère Equation	1
Convergence of Energy Forms on Sierpinski Gaskets with Added Rotated Triangle	1
The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces	1
Some Results on the Optimal Matching Problem for the Jacobi Model	0
The Robin Mean Value Equation II: Asymptotic Hölder Regularity	0
Hypoellipticity and Parabolic Hypoellipticity of Nonlocal Operators under Hörmander’s Condition	0
The Dirichlet Heat Kernel in Inner Uniform Domains in Fractal-Type Spaces	0
On the Relation Between the Girsanov Transform and the Kolmogorov Equations for SPDEs	0
Asymptotics, Trace, and Density Results for Weighted Dirichlet Spaces Defined on the Half-line	0
Rank 5 Trivializable Subriemannian Structure on $$\mathbb {S}^7$$ and Subelliptic Heat Kernel	0
$$p-$$Harmonic Functions in the Upper Half-space	0
Infinite Dimensional Systems of Particles with Interactions Given by Dunkl Operators	0
Some convergences results on the stochastic Cahn-Hilliard-Navier-Stokes equations with multiplicative noise	0
Distribution-Path Dependent Nonlinear SPDEs with Application to Stochastic Transport Type Equations	0
Uniqueness for an Obstacle Problem Arising from Logistic-Type Equations with Fractional Laplacian	0

Comparison Geometry for Integral Radial Bakry-Émery Ricci Tensor Bounds	0
On the Upper Rate Functions of Some Time Inhomogeneous Diffusion Processes	0
Schauder Estimates for Nonlocal Equations with Singular Lévy Measures	0
Lie Symmetries of Fundamental Solutions to the Leutwiler-Weinstein Equation	0
Two-Weight Inequalities for Multilinear Commutators in Product Spaces	0
Gaussian fields, equilibrium potentials and multiplicative chaos for Dirichlet forms	0
The Fractional Laplacian with Reflections	0
Estimates of Poisson Kernels for Symmetric Lévy Processes and Their Applications	0
On Two-Weight Norm Inequalities for Positive Dyadic Operators	0
A Smooth 1-Parameter Family of Delaunay-Type Domains for an Overdetermined Elliptic Problem in $$\mathbb {S}^n\times \mathbb {R}$$ and $$\mathbb {H}^n\times \mathbb {R}$$	0
A Fourier Integral Formula for Logarithmic Energy	0
Green Function and Poisson Kernel Associated to Root Systems for Annular Regions	0
Global Well-Posedness of Solutions to a Class of Double Phase Parabolic Equation With Variable Exponents	0
Fractional Leibniz-type Rules on Spaces of Homogeneous Type	0
Higher Order Coercive Inequalities	0
Asymptotic Behavior for Multi-scale SDEs with Monotonicity Coefficients Driven by Lévy Processes	0
The Probabilistic Solution of a System of Semilinear Elliptic PDEs Under the Third Boundary Conditions	0
Littlewood-Paley-Stein Theory and Banach Spaces in the Inverse Gaussian Setting	0
Correction to: Erratum on the labeling of two papers	0
Convergence of Harmonic Measures and Capacities	0
Positive Solutions of Schrödinger Equations in Product form and Martin Compactifications of the Plane, II	0
Well-posedness for the Cahn-Hilliard-Navier-Stokes Equations with Random Initial Data	0
Energy Spaces, Dirichlet Forms and Capacities in a Nonlinear Setting	0
Publisher Correction: The Dirichlet Heat Kernel in Inner Uniform Domains in Fractal-Type Spaces	0
Bôcher’s Theorem with Rough Coefficients	0
Removability of Isolated Singular Points for Fourth Order Elliptic Equations with Nonstandard Growth	0
Long-Time Behavior for Subcritical Measure-Valued Branching Processes with Immigration	0
Weighted Poincaré Inequalities and Degenerate Elliptic and Parabolic Problems: An Approach via the Distance Function	0
Nonlinear McKean-Vlasov Diffusions under the Weak Hörmander Condition with Quantile-Dependent Coefficients	0
Besov-Orlicz Path Regularity of Non-Gaussian Processes	0
Distributional Solutions of Burgers’ type Equations for Intrinsic Graphs in Carnot Groups of Step 2	0
Large Deviation Principle for Fractional Brownian Motion with Respect to Capacity	0
On Sublevel Set Estimates and the Laplacian	0
Stretching and Rotation of Planar Quasiconformal Mappings on a Line	0
The Normal Contraction Property for Non-Bilinear Dirichlet Forms	0
BMO Solvability and Absolute Continuity of Caloric Measure	0
Coercive Inequalities and U-Bounds on Step-Two Carnot Groups	0
Game-Theoretic Approach to Hölder Regularity for PDEs Involving Eigenvalues of the Hessian	0
An Elliptic Problem Involving Large Advection	0
Neumann Boundary Problems for Parabolic Partial Differential Equations with Divergence Terms	0
Oscillation of Functions in the Hölder Class	0
Toeplitz Operators on a Class of Radially Weighted Harmonic Bergman Spaces	0
Powers of Brownian Green Potentials	0
A Small Time Approximation for the Solution to the Zakai Equation	0
Dual Spaces for Weak Martingale Hardy Spaces Associated with Rearrangement-Invariant Spaces	0
Stochastic Doubly Nonlinear PDE: Large Deviation Principles and Existence of Invariant Measure	0
Essential Self-Adjointness of Perturbed Biharmonic Operators via Conformally Transformed Metrics	0
Trace Operator on von Koch’s Snowflake	0
$W^{s,\frac {n}{s}}$-maps with positive distributional Jacobians	0
Removable Singularities for Solutions of the Fractional Heat Equation in Time Varying Domains	0
An Improved Trudinger–Moser Inequality Involving N-Finsler–Laplacian and Lp Norm	0
Fractional Higher Differentiability for Solutions of Stationary Stokes and Navier-Stokes Systems with Orlicz Growth	0
Khavinson Problem for Hyperbolic Harmonic Mappings in Hardy Space	0
Quasi-Invariance for Infinite-Dimensional Kolmogorov Diffusions	0
Lower Bound for the Green Energy of Point Configurations in Harmonic Manifolds	0
Off-Diagonal Heat Kernel Estimates for Symmetric Diffusions in a Degenerate Ergodic Environment	0
New Universal Inequalities for Eigenvalues of a Clamped Plate Problem	0
Quadrature Domains for the Helmholtz Equation with Applications to Non-scattering Phenomena	0
Martin Boundary of Killed Random Walks on Isoradial Graphs	0
Compact Sets in Petals and Their Backward Orbits Under Semigroups of Holomorphic Functions	0
Large-Time Behavior of Two Families of Operators Related to the Fractional Laplacian on Certain Riemannian Manifolds	0
Heat Kernel Estimates for Stable-driven SDEs with Distributional Drift	0
Parabolic Harnack Inequality Implies the Existence of Jump Kernel	0
A BMO-Type Characterization of Higher Order Sobolev Spaces	0
Growth of Harmonic Mappings and Baernstein Type Inequalities	0
On complete Weingarten Hypersurfaces Under Assumptions on the Gauss-Kronecker Curvature	0
Strong Solutions of Stochastic Differential Equations with Coefficients in Mixed-Norm Spaces	0
Overconvergence Properties of Dirichlet Series	0
Gaussian-type Density Bounds for Solutions to Multidimensional Backward SDEs and Application to gene Expression	0
Rectangular Summation of Multiple Fourier Series and Multi-parametric Capacity	0
Non-Gaussian Measures in Infinite Dimensional Spaces: the Gamma-Grey Noise	0
An Averaging Principle for Stochastic Flows and Convergence of Non-Symmetric Dirichlet Forms	0
Homogeneous Dirichlet Forms on p.c.f. Fractals and their Spectral Asymptotics	0
Some Boundary Harnack Principles with Uniform Constants	0
The Superposition Operator and Strauss Lemma in Logarithmic Besov Spaces	0
Correction to: The Dirichlet Problem for p-minimizers on Finely Open Sets in Metric Spaces	0
On Well-posedness of Stochastic Anisotropic p-Laplace Equation Driven by Lévy Noise	0
Sobolev Extension on Lp-quasidisks	0
Strengthened Fractional Sobolev Type Inequalities in Besov Spaces	0
Anisotropic Fractional Gagliardo-Nirenberg, Weighted Caffarelli-Kohn-Nirenberg and Lyapunov-type Inequalities, and Applications to Riesz Potentials and p-sub-Laplacian Systems	0
Hyperbolic Green Function Estimates	0
Boundary Lipschitz Regularity and the Hopf Lemma for Fully Nonlinear Elliptic Equations	0
On a Non-Periodic Modified Euler Equation: Well-Posedness and Quasi-Invariant Measures	0
Multiplicity of Semiclassical States Solutions for a Weakly Coupled Schrödinger System with Critical Growth in Divergent Form	0
Decay Rate of the Eigenvalues of the Neumann-Poincaré Operator	0
On Evans’ and Choquet’s Theorems for Polar Sets	0
Erratum: Weighted Fractional Leibniz-type Rules for Bilinear Multiplier Operators	0
The $$\textrm{CMO}$$-Dirichlet Problem for Elliptic Systems in the Upper Half-Space	0
Rough Bilinear Hypersingular Integrals	0
Optimal Extension to Sobolev Rough Paths	0
Asymptotic Average Solutions to Linear Second Order Semi-Elliptic PDEs: A Pizzetti-Type Theorem	0
Rate of Convergence in the Smoluchowski-Kramers Approximation for Mean-field Stochastic Differential Equations	0
Heyde Theorem on Locally Compact Abelian Groups with the Connected Component of Zero of Dimension 1	0
Extensions of Harmonic Functions of the Complex Plane Slit Along a Line Segment	0
Strong Maximum Principle and Boundary Estimates for Nonhomogeneous Elliptic Equations	0