Complex Analysis and Operator Theory

Article	Citations
Weak Solutions to the Complex m-Hessian Type Equation on Open Subsets of $${\mathbb {C}}^n$$	16
Asymptotic Behaviour of the Non-real Pair-Eigenvalues of a Two Parameter Eigenvalue Problem	15
Composition Operators on Function Spaces on the Halfplane: Spectra and Semigroups	12
On the Plane Lamé–Navier System in Fractal Domains	12
Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball	11
Biorthogonal Approach Associated with the Fractional Laguerre Appell Polynomials	10
Slice Spirallike Functions over Quaternions	8
Dilations and Operator Models of $${\mathcal {W}}$$-Hypercontractions	7
Boundary Distance Functions of Riemann Domains Over Pre-Hilbert Spaces	7
Function Theory from Tensor Algebras	7
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform	6
The Banach–Stone Theorem in Finsler $$C^*$$-Modules	6
Characterization and Non-characterization of Domains by Their Isotropy Groups	6
Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces	6
Krein Space Representations and Radon–Nikodým Theorem for Local $$\alpha $$-Completely Positive Maps	6
Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space	5
The Poisson Convolution Associated with the Spherical Mean Operator	5
The Resolution of Euclidean Massless Field Operators of Higher Spins on $${\mathbb {R}}^6$$ and the $$L^2$$ Method	5
Noncommutative Mulholland Inequalities Associated with Factors and Their Applications	5
Variable Triebel–Lizorkin–Lorentz Spaces Associated to Operators	5
Scattering Operator and Wave Operators for 2D Schrödinger Operators with Threshold Obstructions	5
Characterization of Non-Stationary Wavelets and Non-Stationary Multiresolution Analysis Wavelets Related to Walsh Functions	4
Szegö’s Theorem on Hardy Spaces Induced by Rotation-Invariant Borel Measures	4
Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space	4
Inequalities for N-Operator	4

Szegő and Widom Theorems for Finite Codimensional Subalgebras of a Class of Uniform Algebras	4
Characterization of Forward, Vanishing, and Reverse Bergman Carleson Measures using Sparse Domination	4
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators	4
Realization of Inverse Stieltjes Functions $$(-m_\alpha (z))$$ by Schrödinger L-Systems	4
p-Summable Commutators in Bergman Spaces on Egg Domains	4
Sums of Polyanalytic Dual Toeplitz Products	4
Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane	4
Solutions for a Nonlocal Elliptic System with General Growth	4
Local Ergodic Theorems for $$C_0$$-Semigroups	4
Pseudo Almost Periodic Solution for Some Differential Equations with Piecewise Constant Argument and Applications	4
Extension of the Bessmertnyĭ Realization Theorem for Rational Functions of Several Complex Variables	4
Topological Properties of Regular Boundary Domains in Riemannian Manifolds	4
Fredholm Index of 3-Tuple of Restriction Operators and the Pair of Fringe Operators for Submodules in $$H^2({\mathbb {D}}^3)$$	3
Variational Principles in Quaternionic Analysis with Applications to the Stationary MHD Equations	3
Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions	3
On an Extension of Stević–Sharma Operator from Weighted Bergman–Orlicz Space to Weighted-Type Space on the Unit Ball	3
The Berberian’s Transform and an Asymmetric Putnam–Fuglede Theorem	3
Relatively Bounded Perturbations of J-Non-Negative Operators	3
An Operator Version of the Jensen Inequality for s-Convex Functions	3
Riesz Projection and Essential S-spectrum in Quaternionic Setting	3
C*-Algebras Generated by Radial Toeplitz Operators on Polyanalytic Weighted Bergman Spaces	3
Higgs Algebras in Classical Harmonic Analysis	3
Adaptive Decompositions in Monogenic Reproducing Kernel Hilbert Spaces of Paley–Wiener Type	3
The Kaczmarz Algorithm in Banach Spaces	3
Fredholm Weighted Generalized Composition Operators	3
Spectrality of a Class of Moran Measures on $$\mathbb {R}^n$$	3
Entire Symmetric Operators in de Branges–Pontryagin Spaces and a Truncated Matrix Moment Problem	3
On the Toeplitz Algebra in the Case of All Entire Functions and All Functions Holomorphic in the Unit Disc	3
On a Class of Subdiagonal Algebras	3
Traces for Sturm–Liouville Operators on a Caterpillar Graph	3
Fractional Laplacian Elliptic Systems with Multiple Parameters	3
Flexibility of Analysis Serving Computational Polynomial Algebra or Arithmetics	3
Closures of Bergman–Besov Spaces in the Weighted Bloch Spaces on the Unit Ball	3
m-Isometric Composition Operators on Discrete Spaces	3
Characterization of Dual Scalable Frames	3
Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method	3
Harmonic Bergman Spaces on the Real Hyperbolic Ball: Atomic Decomposition, Interpolation and Inclusion Relations	3
$${{\mathcal {R}}}$$-Bounded Operator Families Arising from a Compressible Fluid Model of Korteweg Type with Surface Tension in the Half-Space	2
The Local Operator Moment Problem on $${\mathbb {R}}$$	2
Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method	2
Endpoint Behavior of the Bergman Projection on a Class of n-dimensional Hartogs Triangles	2
Steven George Krantz (1951 -) Celebrates his 70th Birthday	2
Representation Theorems for the Cauchy Transform in Weighted Bergman–Dirichlet Spaces	2
Weighted Bergman Spaces Associated with the Hyperbolic Group	2
Semicommutators of Truncated Toeplitz Operators	2
Embedding Theorems and Area Operators on Bergman Spaces with Doubling Measure	2
Some Relations Between Schwarz–Pick Inequality and von Neumann’s Inequality	2
Generalized Weighted Composition Operators on Vector-Valued Weighted Bergman Space	2
Inequalities Involving Berezin Norm and Berezin Number	2
Factorizations of Characteristic Functions of Iterated Liftings	2

On Compactness of Products of Toeplitz Operators	2
Uncertainty Principles with Discrete Quaternion Fourier Transforms	2
Some Operators on Minimal $$\alpha $$-Möbius Invariant Function Spaces	2
Free Probability on Banach Algebras Induced by Scaled Hypercomplex Numbers	2
Sequences of Operators, Monotone in the Sense of Contractive Domination	2
Stepanov and Weyl Classes of c-Almost Periodic Type Functions	2
Hausdorff Operators on Weighted Banach Spaces of Type $$H^{\infty }$$	2
Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem	2
A Schwarz Lemma for the Symmetrized Polydisc Via Estimates on Another Family of Domains	2
A-Isometries and Hilbert-A-Modules Over Product Domains	2
Wellposedness of Second Order Evolution Equations	2
The Spectrum of the Non-self-adjoint Twisted Laplacian on $$\displaystyle \mathbb {R}^2$$	2
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space	2
On Hardy-Like Spaces Induced by Tracial Unital Banach $$*$$-Probability Spaces	2
Paley–Wiener-Type Theorems Associated to the Laplace–Bessel Operator	2
Jacobson’s Lemma for Spectral Idempotents in Banach Algebras	2
Numerical Radius and Norm Bounds via the Moore-Penrose Inverse	2
Extended Joint Numerical Radius of the Spherical Aluthge Transform	2
Quadratic Fock Space Calculus (II): Positivity of the Preservation Operator and Linear Independence of the Quadratic Exponential Vectors	2
Freedman Inequality in Noncommutative Probability Spaces	2
Characteristic Polynomials of Random Banded Hessenberg Matrices and Hermite–Padé Approximation	2
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space	2
Integration of Functions of a Hyperbolic Variable	2
Hadamard–Bergman Operators on Weighted Spaces	2
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/2	2
Modulus of Smoothness and Approximation Theorems in Clifford Analysis	2
Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation	2
Remarks on Commuting Functions of Operators	2
Approximation by Modified Taylor Polynomials in the Harmonically Weighted Dirichlet Spaces	2
The Essential Adjointness of Pseudo-Differential Operators on $$\mathbb {Z}^n$$	1
A Derivative-Hilbert Operator Acting on the Bloch Space	1
On the Relation Between S-Spectrum and Right Spectrum	1
Regularity and Compactness Properties of Integral Hankel Operators and Their Singular Vectors	1
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane	1
Bergman Kernel, Szegö Kernel and Dirichlet Integral	1
Fractional Integration on Mixed Norm Spaces. I	1
Arithmetic and Analysis of the Series $${ \sum _{n=1}^{\infty } \frac{1}{n} \sin \frac{x}{n} }$$	1
S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities	1
Frame Wavelets of Local Fields with No Dual Wavelet Frames	1
Spectral Analysis of Perturbed Fredholm Operators	1
Refined Estimations for Some Types of Entropies and Divergences	1
On the Differentiation of Integrals in Measure Spaces Along Filters: II	1
Dolbeault and J-Invariant Cohomologies on Almost Complex Manifolds	1
Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators	1
Stochastic Clairaut Equation on Algebra of Generalized Functions	1
Construction of the Riemann Map	1
Characterization of Pure Contractive Multipliers and Applications	1
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces	1
On the Structure of Real Operators	1
Three-Jets Determinations of Normalized Proper Holomorphic Maps from $$ \mathbb {H}_n$$ into $$\mathbb {H}_{3n-2}$$	1
Hodge Decomposition for Generalized Vekua Spaces in Higher Dimensions	1
Operator Theory on Noncommutative Varieties in Polydomains	1
A Generalization of Ando’s Dilation, and Isometric Dilations for a Class of Tuples of q-Commuting Contractions	1
A Characterization of Invariant Subspaces for Isometric Representations of Product System over $$\mathbb {N}_0^{k}$$	1
Geometry of Five Point Sets in the Complex Ball	1
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels	1
$$L\log L$$ Type Estimates for Commutators of Fractional Integral Operators on the p-Adic Vector Space	1
Explicit Relation Between Two Resolvent Matrices of the Truncated Hausdorff Matrix Moment Problem	1
Complex Hessian Operator Associated to an m-Positive Closed Current and Weighted m-Capacity	1
Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables	1
Higher Dimensional Numerical Range of $$\xi $$-Lie Products on Bound Self-adjoint Operators	1
Superoscillating Sequences and Supershifts for Families of Generalized Functions	1
Commutative Toeplitz Algebras and Their Gelfand Theory: Old and New Results	1
Hankel Operators Between Different Fock–Sobolev Type Spaces	1
Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting	1
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices	1
Bounds on the Non-real Eigenvalues of Nonlocal Indefinite Sturm–Liouville Problems with Coupled Boundary Conditions	1
Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces	1
Infinite Order Differential Operators Associated with Superoscillations in the Half-Plane Barrier	1
Operator Power means in the View of Fixed Points	1
Vector-Valued Reproducing Kernel Hilbert $$C^*$$-Modules	1
A Note on the Invariant Subspace Problem	1
On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences	1
Povzner–Wienholtz-Type Theorems for Sturm–Liouville Operators with Singular Coefficients	1
Characterizations of Square Roots of Unitary Weighted Composition Operators on $$H^2$$	1
The Generalized Toeplitz Determinants for a Class of Holomorphic Mappings in Several Complex Variables	1
Existence of Geodesic Spirals for the Kobayashi–Fuks Metric on Planar Domains	1
Notes on Hypercyclicity of Composition Operator on the Weighted Dirichlet Spaces	1
Sharp Pointwise Estimate of $$\alpha $$-Harmonic Functions	1
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator	1

Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups	1
Non-spectrality of a class of Moran measures on $$\mathbb {R}^{3}$$	1
Bergman Kernels of Two Dimensional Monomial Polyhedra	1
On the Submultiplicativity of Matrix Norms Induced by Random Vectors	1
A Peak Set with a Maximal Hausdorff Dimension on Each Slice	1
A Note on the Three Dimensional Dirac Operator with Zigzag Type Boundary Conditions	1
Cohn–Elkies Functions from Gabor Frames	1
Controllability of Mild Solutions for Second-Order Neutral Evolution Equations with State-Dependent Delay	1
Automorphic Carathéodory–Julia Theorem	1
The Kernels of Hankel Operators on the Full Fock Space	1
Linear Canonical Bargmann Transform	1
On Fiber Bundles and Quaternionic Slice Regular Functions	1
Gevrey Type Regularity of the Riesz–Feller Operator Perturbed by Gradient in $$L^p(\mathbb {R})$$	1
Zero-Range Hamiltonian for a Bose Gas with an Impurity	1
Octonionic Kerzman–Stein Operators	1
Some Fundamental Formulas for an Integration on Infinite Dimensional Hilbert Spaces	1
Rawnsley’s $$\varepsilon $$-Function on a Class of Bounded Hartogs Domains and its Applications	1
Counterexamples to Bicomplex Analogue of Bloch’s Principle and its Converse	1
Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrödinger Operators	1
The Twistor Space of $${\mathbb {R}}^{4n}$$ and Berezin–Toeplitz Operators	1
Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces	1
Yet Another Approach to Poly-Bergman Spaces	1
Browder S-Resolvent Equation in Quaternionic Setting	1
Riesz Means on Locally Symmetric Spaces	1
Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator	1
Moment Infinite Divisibility of Weighted Shifts: Sequence Conditions	1
On Characterization of Hilbert Transform of Riemannian Surface with Boundary	1
Semi-commutants of Toeplitz Operators on Fock–Sobolev Space of Nonnegative Orders	1
Topological Regularity for Solutions to the Generalised Hopf Equation	1
Existence of Solutions for a Singular Double Phase Kirchhoff Type Problems Involving the Fractional q(x, .)-Laplacian Operator	1
The Jacobi Operator on $$(-1,1)$$ and Its Various m-Functions	1
Normal Holomorphic Mappings in Complex Space	1
Orthogonal Exponential Functions on the Three-Dimensional Sierpinski Gasket	1
b-AM-Dunford–Pettis Operators on Banach lattices	1
The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains	1
Analytic Function Spaces Associated with the p-Carleson Measure for the Bloch Space	1
Estimation of Bounds for the Zeros of Polynomials and Regular Functions of a Quaternionic Variable	1
Multiple Sampling and Interpolation in Weighted Fock Spaces of Entire Functions	1
Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields	1
Further Berezin Number and Berezin Norm Inequalities for Sums and Products of Operators	1
Solvability of the Gleason Problem on a Class of Bounded Pseudoconvex Domains	0
Correction to: Canonical Decomposition of Operators Associated with the Symmetrized Polydisc	0
Weak$$^*$$-2-Local Derivations on Semi-finite von Neumann Algebras	0
A Nagy–Foias Program for a C.N.U. $$\Gamma _n$$-Contraction	0
Weighted Join Operators on Directed Trees	0
Poly-analytic Functions and Representation Theory	0
Three Classification Results in the Theory of Weighted Hardy Spaces on the Ball	0
The Powers of Regular Linear Relations	0
Integral Estimates and Multiplier Operators from Normal Weight General Function Spaces to Bloch Type Spaces	0
Randomization in Generalized Mixed Norm Spaces	0
Existence of Solutions for a Class of Fractional $$p-$$Laplacian Equations with Innovative Conditions	0
Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions	0
Generalized Hausdorff-Zhu Operators on Möbius Invariant Spaces	0
The Schur–Potapov Algorithm in the General Matrix Case and Its Application to the Matricial Schur Problem	0
Approximation by Meromorphic k-Differentials on Compact Riemann Surfaces	0
On the Expansion of Resolvents and the Integrated Density of States for Poisson Distributed Schrödinger Operators	0
A Note on Koliha-Drazin Invertible Operators and a-Browder’s Theorem	0
Parametrized Marcinkiewicz Integrals on Herz Spaces with Variable Exponents	0
The Noncommutative Fractional Fourier Law in Bounded and Unbounded Domains	0
Quaternion Hyperbolic Fourier Transforms and Uncertainty Principles	0
Dual Convolution for the Affine Group of the Real Line	0
m-Potential Theory and m-Generalized Lelong Numbers Associated with m-Positive Supercurrents	0
Bicomplex Polyharmonicity and Polyholomorphy	0
Compact Complex p-Kähler Hyperbolic Manifolds	0
Completing an Operator Matrix and the Free Joint Numerical Radius	0
A Class of Norm Inequalities for Operator Monotone Functions and Hyponormal Operators	0
A Jordan Curve Theorem on a 3D Ball Through Brownian Motion	0
On Certain Functional and Partial Differential Equations, II	0
Almansi-Type Theorem for Polymonogenic Functions in ballshell Domain	0
Spectral Analysis Near Regular Point of Reducibility and Representations of Coxeter Groups	0
Hölder Continuity of Generalized Harmonic Functions in the Unit Disc	0
Complex Symmetry of Linear Combinations of Composition Operators on the McCarthy–Bergman Space of Dirichlet Series	0
Backtracking New Q-Newton’s Method, Newton’s Flow, Voronoi’s Diagram and Stochastic Root Finding	0
Continuous Fredholm Theory, Regularities and Semiregularities	0
On the Closed Range Weighted Composition–Differentiation Operator	0
Rational Penta-Inner Functions and the Distinguished Boundary of the Pentablock	0
An Operator-Valued Analogue of a Result of Bombieri	0
Closed Range Integral Operators on Fock Spaces	0
Sharp Coefficients Bounds for Starlike Functions Associated with Gregory Coefficients	0
Spectral Approximation of Generalized Schrödinger Operators via Approximation of Subwords	0
On Polyanalytic Functions in Several Complex Variables	0
Free-Homomorphic Relations on Banach $$*$$-Probability Spaces Generated by Semicircular Elements Induced by Natural Numbers	0
Rochberg’s Abstract Coboundary Theorem Revisited	0
Poisson’s Equation for Abel-Ergodic Theorems	0
Homogeneously Polyanalytic Kernels on the Unit Ball and the Siegel Domain	0
Operator Theory on Noncommutative Polydomains, I	0
Application of the Weyl Calculus Perspective on Discrete Octonionic Analysis in Bounded Domains	0
Kernel, Image and Scattering Representations of Passive State/Signal Systems	0
Revitalising Pedrick’s Approach to Reproducing Kernel Hilbert Spaces	0
A Cauchy Transform for Polymonogenic Functions on Fractal Domains	0
Minimal Invariant Subspaces for an Affine Composition Operator	0
Representations of Some Classes of Quaternionic Hyperholomorphic Functions	0
Hilbert and Poincaré-Bertrand Formulas in Polyanalytic Function Theory Involving Higher Order Lipschitz Classes	0
The Cowen-Douglas Theory for Operator Tuples and Similarity	0
Special Toeplitz Operators on n-Dimensional Generalized Hartogs Triangles	0