Complex Analysis and Operator Theory

Papers
(The median citation count of Complex Analysis and Operator Theory is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-03-01 to 2025-03-01.)
ArticleCitations
Weak Solutions to the Complex m-Hessian Type Equation on Open Subsets of $${\mathbb {C}}^n$$18
Asymptotic Behaviour of the Non-real Pair-Eigenvalues of a Two Parameter Eigenvalue Problem17
Composition Operators on Function Spaces on the Halfplane: Spectra and Semigroups13
Uncertainty Principles with Discrete Quaternion Fourier Transforms12
On Hardy-Like Spaces Induced by Tracial Unital Banach $$*$$-Probability Spaces12
Dilations and Operator Models of $${\mathcal {W}}$$-Hypercontractions11
The Banach–Stone Theorem in Finsler $$C^*$$-Modules8
Localization Operators and Scalogram in the Framework of Mehler–Fock Wavelet Transform8
Characterization of Non-Stationary Wavelets and Non-Stationary Multiresolution Analysis Wavelets Related to Walsh Functions7
Solutions for a Nonlocal Elliptic System with General Growth7
The Poisson Convolution Associated with the Spherical Mean Operator7
Noncommutative Mulholland Inequalities Associated with Factors and Their Applications7
Szegö’s Theorem on Hardy Spaces Induced by Rotation-Invariant Borel Measures6
Local Ergodic Theorems for $$C_0$$-Semigroups6
Realization of Inverse Stieltjes Functions $$(-m_\alpha (z))$$ by Schrödinger L-Systems6
Characterization of Dual Scalable Frames5
Topological Properties of Regular Boundary Domains in Riemannian Manifolds5
On the Toeplitz Algebra in the Case of All Entire Functions and All Functions Holomorphic in the Unit Disc5
Higgs Algebras in Classical Harmonic Analysis5
Pseudo Almost Periodic Solution for Some Differential Equations with Piecewise Constant Argument and Applications5
Fredholm Weighted Generalized Composition Operators5
Fractional Laplacian Elliptic Systems with Multiple Parameters5
Flexibility of Analysis Serving Computational Polynomial Algebra or Arithmetics5
Inequalities for N-Operator5
On an Extension of Stević–Sharma Operator from Weighted Bergman–Orlicz Space to Weighted-Type Space on the Unit Ball5
Entire Symmetric Operators in de Branges–Pontryagin Spaces and a Truncated Matrix Moment Problem5
Paley–Wiener-Type Theorems Associated to the Laplace–Bessel Operator4
Characteristic Polynomials of Random Banded Hessenberg Matrices and Hermite–Padé Approximation4
Heisenberg Uncertainty Principles for the Dunkl-Type Fock Space4
Quadratic Fock Space Calculus (II): Positivity of the Preservation Operator and Linear Independence of the Quadratic Exponential Vectors4
Riesz Projection and Essential S-spectrum in Quaternionic Setting4
Numerical Radius and Norm Bounds via the Moore-Penrose Inverse4
Steven George Krantz (1951 -) Celebrates his 70th Birthday4
Free Probability on Banach Algebras Induced by Scaled Hypercomplex Numbers4
Some Approximation Properties of Parametric Baskakov–Schurer–Szász Operators Through a Power Series Summability Method4
Generalized Weighted Composition Operators on Vector-Valued Weighted Bergman Space4
Hadamard–Bergman Operators on Weighted Spaces4
Freedman Inequality in Noncommutative Probability Spaces4
Weyl Sets in a Non-degenerate Truncated Matricial Hausdorff Moment Problem3
Spectrality of a Class of Moran Measures on $$\mathbb {R}^n$$3
Some Operators on Minimal $$\alpha $$-Möbius Invariant Function Spaces3
Gradient Estimates in the Whole Space for the Double Phase Problems by the Maximal Function Method3
Some Relations Between Schwarz–Pick Inequality and von Neumann’s Inequality3
Sequences of Operators, Monotone in the Sense of Contractive Domination3
On Compactness of Products of Toeplitz Operators3
$${{\mathcal {R}}}$$-Bounded Operator Families Arising from a Compressible Fluid Model of Korteweg Type with Surface Tension in the Half-Space3
Semicommutators of Truncated Toeplitz Operators3
Jacobson’s Lemma for Spectral Idempotents in Banach Algebras3
m-Isometric Composition Operators on Discrete Spaces3
Fredholm Index of 3-Tuple of Restriction Operators and the Pair of Fringe Operators for Submodules in $$H^2({\mathbb {D}}^3)$$3
Characterization of Forward, Vanishing, and Reverse Bergman Carleson Measures using Sparse Domination3
Harmonic Bergman Spaces on the Real Hyperbolic Ball: Atomic Decomposition, Interpolation and Inclusion Relations3
Krein Space Representations and Radon–Nikodým Theorem for Local $$\alpha $$-Completely Positive Maps3
Approximation by Modified Taylor Polynomials in the Harmonically Weighted Dirichlet Spaces3
Dirichlet Problem for Nonlinear Higher-Order Equations in Upper Half Plane3
Extended Joint Numerical Radius of the Spherical Aluthge Transform3
Traces for Sturm–Liouville Operators on a Caterpillar Graph3
C*-Algebras Generated by Radial Toeplitz Operators on Polyanalytic Weighted Bergman Spaces3
Endpoint Behavior of the Bergman Projection on a Class of n-dimensional Hartogs Triangles3
Variational Principles in Quaternionic Analysis with Applications to the Stationary MHD Equations3
On a Class of Subdiagonal Algebras3
On the Plane Lamé–Navier System in Fractal Domains3
Modulus of Smoothness and Approximation Theorems in Clifford Analysis3
p-Summable Commutators in Bergman Spaces on Egg Domains2
Sums of Polyanalytic Dual Toeplitz Products2
Extension of the Bessmertnyĭ Realization Theorem for Rational Functions of Several Complex Variables2
Slice Spirallike Functions over Quaternions2
An Operator Version of the Jensen Inequality for s-Convex Functions2
Adaptive Decompositions in Monogenic Reproducing Kernel Hilbert Spaces of Paley–Wiener Type2
Factorizations of Characteristic Functions of Iterated Liftings2
Variable Triebel–Lizorkin–Lorentz Spaces Associated to Operators2
Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball2
Relatively Bounded Perturbations of J-Non-Negative Operators2
The Berberian’s Transform and an Asymmetric Putnam–Fuglede Theorem2
Bergman Kernel, Szegö Kernel and Dirichlet Integral2
The Resolution of Euclidean Massless Field Operators of Higher Spins on $${\mathbb {R}}^6$$ and the $$L^2$$ Method2
Biorthogonal Approach Associated with the Fractional Laguerre Appell Polynomials2
Scattering Operator and Wave Operators for 2D Schrödinger Operators with Threshold Obstructions2
Stepanov and Weyl Classes of c-Almost Periodic Type Functions2
Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space2
Quaternionic Convolutional Neural Networks with Trainable Bessel Activation Functions2
Closures of Bergman–Besov Spaces in the Weighted Bloch Spaces on the Unit Ball2
Weighted Bergman Spaces Associated with the Hyperbolic Group2
Closure in the Logarithmic Bloch Norm of Dirichlet Type Spaces2
Function Theory from Tensor Algebras2
Carleson Measures and Toeplitz Operators Between Bergman Spaces on the Siegel Upper Half-space2
Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators2
Existence of Solutions for a Singular Double Phase Kirchhoff Type Problems Involving the Fractional q(x, .)-Laplacian Operator2
A-Isometries and Hilbert-A-Modules Over Product Domains2
Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields2
A Schwarz Lemma for the Symmetrized Polydisc Via Estimates on Another Family of Domains2
Evaluating Borwein Integrals Using Residue Theory2
Embedding Theorems and Area Operators on Bergman Spaces with Doubling Measure2
Complex Hessian Operator Associated to an m-Positive Closed Current and Weighted m-Capacity2
Hausdorff Operators on Weighted Banach Spaces of Type $$H^{\infty }$$2
Wellposedness of Second Order Evolution Equations2
Characterization and Non-characterization of Domains by Their Isotropy Groups2
Remarks on Commuting Functions of Operators2
Integration of Functions of a Hyperbolic Variable2
The Boundedness of Forelli–Rudin Type Operators on the Siegel Upper Half Space2
Szegő and Widom Theorems for Finite Codimensional Subalgebras of a Class of Uniform Algebras2
Representation Theorems for the Cauchy Transform in Weighted Bergman–Dirichlet Spaces2
The Sharp Bound of the Third Hankel Determinant for Starlike Functions of Order 1/22
Frame Wavelets of Local Fields with No Dual Wavelet Frames2
Boundary Distance Functions of Riemann Domains Over Pre-Hilbert Spaces2
The Spectrum of the Non-self-adjoint Twisted Laplacian on $$\displaystyle \mathbb {R}^2$$2
The Kaczmarz Algorithm in Banach Spaces2
The Local Operator Moment Problem on $${\mathbb {R}}$$2
Browder S-Resolvent Equation in Quaternionic Setting1
S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities1
Inequalities Involving Berezin Norm and Berezin Number1
The Twistor Space of $${\mathbb {R}}^{4n}$$ and Berezin–Toeplitz Operators1
Riesz Means on Locally Symmetric Spaces1
Semi-commutants of Toeplitz Operators on Fock–Sobolev Space of Nonnegative Orders1
On Fiber Bundles and Quaternionic Slice Regular Functions1
Hilbert Transform, Nevanlinna Class and Toeplitz Kernels1
On the Submultiplicativity of Matrix Norms Induced by Random Vectors1
Spectral Analysis of Perturbed Fredholm Operators1
Blow-Up Theorems for p-Sub-Laplacian Heat Operators on Stratified Groups1
On the Relation Between S-Spectrum and Right Spectrum1
Construction of the Riemann Map1
Explicit Relation Between Two Resolvent Matrices of the Truncated Hausdorff Matrix Moment Problem1
Characterizations of Square Roots of Unitary Weighted Composition Operators on $$H^2$$1
A Generalization of Ando’s Dilation, and Isometric Dilations for a Class of Tuples of q-Commuting Contractions1
Correction to: Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables1
On the Differentiation of Integrals in Measure Spaces Along Filters: II1
Counterexamples to Bicomplex Analogue of Bloch’s Principle and its Converse1
Rota–Baxter Operators and Loday-Type Algebras on the BiHom-Associative Conformal Algebras1
$$L\log L$$ Type Estimates for Commutators of Fractional Integral Operators on the p-Adic Vector Space1
Existence of Geodesic Spirals for the Kobayashi–Fuks Metric on Planar Domains1
Arithmetic and Analysis of the Series $${ \sum _{n=1}^{\infty } \frac{1}{n} \sin \frac{x}{n} }$$1
On Ideal Amenability of $$\ell ^1$$-Munn Banach Algebras1
Basic Properties of Solutions of Boundary Value Problem for the Dirac-Wave Operator1
Dolbeault and J-Invariant Cohomologies on Almost Complex Manifolds1
Uncertainty Principles and Differential Operators on the Weighted Bergman Space1
The Number and Location of Eigenvalues for the Two-Particle Schrödinger Operators on Lattices1
Further Berezin Number and Berezin Norm Inequalities for Sums and Products of Operators1
A Note on the Invariant Subspace Problem1
On Characterization of Hilbert Transform of Riemannian Surface with Boundary1
Controllability of Mild Solutions for Second-Order Neutral Evolution Equations with State-Dependent Delay1
Weighted Composition Semigroups on Spaces of Continuous Functions and Their Subspaces1
Commutative Toeplitz Algebras and Their Gelfand Theory: Old and New Results1
Geometry of Five Point Sets in the Complex Ball1
Characterization of Pure Contractive Multipliers and Applications1
Superoscillating Sequences and Supershifts for Families of Generalized Functions1
Multiple and Nodal Solutions for Parametric Dirichlet Equations Driven by the Double Phase Differential Operator1
Normal Holomorphic Mappings in Complex Space1
Three-Jets Determinations of Normalized Proper Holomorphic Maps from $$ \mathbb {H}_n$$ into $$\mathbb {H}_{3n-2}$$1
Notes on Hypercyclicity of Composition Operator on the Weighted Dirichlet Spaces1
Integral Transforms of Signumdistributions1
The Growth Rate of Harmonic Functions in the Fock Spaces1
Demicompactness Results and Frobenuis Schur’s Decomposition for Block Operator Matrices in Right Quaternionic Hilbert Spaces1
On the Structure of Real Operators1
On Orthogonal Polynomials Related to Arithmetic and Harmonic Sequences1
Operator Theory on Noncommutative Varieties in Polydomains1
Infinite Order Differential Operators Associated with Superoscillations in the Half-Plane Barrier1
Sharp Pointwise Estimate of $$\alpha $$-Harmonic Functions1
The Kernels of Hankel Operators on the Full Fock Space1
Analytic Function Spaces Associated with the p-Carleson Measure for the Bloch Space1
The Jacobi Operator on $$(-1,1)$$ and Its Various m-Functions1
Some Generalizations of the Hawaii Conjecture and Beyond1
Hankel Operators Between Different Fock–Sobolev Type Spaces1
Bochner–Hecke Theorems in the Generalized Weinstein Theory Setting1
A Note on the Three Dimensional Dirac Operator with Zigzag Type Boundary Conditions1
A Numerical Radius Inequality for Hilbert–Schmidt Operators1
Cohn–Elkies Functions from Gabor Frames1
Application of the Fractional Sturm–Liouville Theory to a Fractional Sturm–Liouville Telegraph Equation1
Mandelbrot and Julia Sets of Complex Polynomials Involving Sine and Cosine Functions via Picard–Mann Orbit1
Stochastic Clairaut Equation on Algebra of Generalized Functions1
Operator Power means in the View of Fixed Points1
Automorphic Carathéodory–Julia Theorem1
Octonionic Kerzman–Stein Operators1
Zero-Range Hamiltonian for a Bose Gas with an Impurity1
b-AM-Dunford–Pettis Operators on Banach lattices1
Bounds on the Non-real Eigenvalues of Nonlocal Indefinite Sturm–Liouville Problems with Coupled Boundary Conditions1
2-Complex Symmetric Weighted Composition Operators on the Weighted Bergman Spaces of the Half-Plane1
Estimation of Bounds for the Zeros of Polynomials and Regular Functions of a Quaternionic Variable1
The Generalized Toeplitz Determinants for a Class of Holomorphic Mappings in Several Complex Variables1
Band Edge Limit of the Scattering Matrix for Quasi-One-Dimensional Discrete Schrödinger Operators1
Non-spectrality of a class of Moran measures on $$\mathbb {R}^{3}$$1
Fractional Integration on Mixed Norm Spaces. I1
Povzner–Wienholtz-Type Theorems for Sturm–Liouville Operators with Singular Coefficients1
Orthogonal Exponential Functions on the Three-Dimensional Sierpinski Gasket1
Hodge Decomposition for Generalized Vekua Spaces in Higher Dimensions1
Topological Regularity for Solutions to the Generalised Hopf Equation1
Rawnsley’s $$\varepsilon $$-Function on a Class of Bounded Hartogs Domains and its Applications1
The Essential Adjointness of Pseudo-Differential Operators on $$\mathbb {Z}^n$$1
Closures of Holomorphic Tent Spaces in Weighted Bloch Spaces1
Linear Canonical Bargmann Transform1
On the Connected Components of a Certain Class of Blaschke Products in the Uniform Topology1
Carleson Measures for Weighted Harmonic Mixed-Norm Spaces and Toeplitz Operators1
Regularity and Compactness Properties of Integral Hankel Operators and Their Singular Vectors1
Higher Dimensional Numerical Range of $$\xi $$-Lie Products on Bound Self-adjoint Operators1
The Dirichlet Problem for the Complex Monge–Ampère Operator on Strictly Plurifinely Pseudoconvex Domains1
BMO on Weighted Bergman Spaces Over Tubular Domains1
A Characterization of Invariant Subspaces for Isometric Representations of Product System over $$\mathbb {N}_0^{k}$$1
Refined Estimations for Some Types of Entropies and Divergences1
A Derivative-Hilbert Operator Acting on the Bloch Space1
On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces1
Bergman Kernels of Two Dimensional Monomial Polyhedra1
Moment Infinite Divisibility of Weighted Shifts: Sequence Conditions1
Yet Another Approach to Poly-Bergman Spaces1
Some Fundamental Formulas for an Integration on Infinite Dimensional Hilbert Spaces1
Gevrey Type Regularity of the Riesz–Feller Operator Perturbed by Gradient in $$L^p(\mathbb {R})$$1
A Peak Set with a Maximal Hausdorff Dimension on Each Slice1
Vector-Valued Reproducing Kernel Hilbert $$C^*$$-Modules1
On the Stochastic Evolution Equation Driven by Brownian Motion in a Separable Space0
On an Involution in the Class of Non-negative Hermitian Matrix Measures on a Compact Interval0
Difference of Weighted Composition Operators Over the Ball0
Approximation on Slices in Balanced Strictly Convex Domains with $$C^{2}$$ boundary0
On the Closed Range Weighted Composition–Differentiation Operator0
Number Theoretic Related to the Scaling Spectrum of Self-similar Measure with Three Element Digit Sets0
Toeplitz Determinants for a Class of Holomorphic Mappings in Higher Dimensions0
Poisson’s Equation for Abel-Ergodic Theorems0
The Cowen-Douglas Theory for Operator Tuples and Similarity0
Existence of Solutions for a Class of Fractional $$p-$$Laplacian Equations with Innovative Conditions0
Spectral Approximation of Generalized Schrödinger Operators via Approximation of Subwords0
Toeplitz Operators on the Fock Space with Quasi-Radial Symbols0
On the Characterization of Symmetries Concerning J-Contractive Projections0
Distribution for Non Symmetric Position Operators on the Free Toy Fock Space and Its Approximation on the Full Fock Space0
Spectral Analysis Near Regular Point of Reducibility and Representations of Coxeter Groups0
The Regularity and Uniform Positivity of the Range of Orthogonal Projections0
Almansi-Type Theorem for Polymonogenic Functions in ballshell Domain0
On the Expansion of Resolvents and the Integrated Density of States for Poisson Distributed Schrödinger Operators0
Fractal Convolution on the Rectangle0
Quaternion Hyperbolic Fourier Transforms and Uncertainty Principles0
Completing an Operator Matrix and the Free Joint Numerical Radius0
A Nagy–Foias Program for a C.N.U. $$\Gamma _n$$-Contraction0
The Powers of Regular Linear Relations0
Application of the Weyl Calculus Perspective on Discrete Octonionic Analysis in Bounded Domains0
Discussion on Matrices Fixed Nullity in Complement Problem of Operator Matrices0
Closed Range Integral Operators on Fock Spaces0
Weak$$^*$$-2-Local Derivations on Semi-finite von Neumann Algebras0
A Kreiss Type Inequality for Rational Functions on General Domains0
A Question About Invariant Subspaces and Factorization0
On an Application of Jack’s Lemma, Starlikeness and k-Fold Symmetry in $${\mathbb {C}}^{n}$$0
Minimal Invariant Subspaces for an Affine Composition Operator0
Minimal Realizations of Atomic Density Functions0
The Schur–Potapov Algorithm in the General Matrix Case and Its Application to the Matricial Schur Problem0
Schanuel’s Lemma for Exact Categories0
Sharp Coefficients Bounds for Starlike Functions Associated with Gregory Coefficients0
Correction to: Canonical Decomposition of Operators Associated with the Symmetrized Polydisc0
Backtracking New Q-Newton’s Method, Newton’s Flow, Voronoi’s Diagram and Stochastic Root Finding0
On the Manifolds with Noncompact Automorphism Groups0
A Cauchy Transform for Polymonogenic Functions on Fractal Domains0
A Note on Joint Spectrum in Function Spaces0
Solvability of the Gleason Problem on a Class of Bounded Pseudoconvex Domains0
Operator Theory on Noncommutative Polydomains, I0
An Operator-Valued Analogue of a Result of Bombieri0
Bicomplex Polyharmonicity and Polyholomorphy0
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