Reproducing Kernels for Hardy and Bergman Spaces of the Upper Half Plane
Communications in Advanced Mathematical Sciences, 2020 Using invertible isometries between Hardy and Bergman spaces of the unit disk $\D$ and the corresponding spaces of the upper half plane $\uP$, we determine explicitly the reproducing kernels for the Hardy and Bergman spaces of $\uP$. As a consequence, we
Job Bonyo
doaj +1 more source
Metrical Boundedness and Compactness of a New Operator between Some Spaces of Analytic Functions
Axioms, 2023 The metrical boundedness and metrical compactness of a new operator from the weighted Bergman-Orlicz spaces to the weighted-type spaces and little weighted-type spaces of analytic functions are characterized.
Stevo Stević
doaj +1 more source
Compact Differences of Composition Operators on Bergman Spaces Induced by Doubling Weights [PDF]
Journal of Geometric Analysis, 2020 Bounded and compact differences of two composition operators acting from the weighted Bergman space Aωp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Bin Liu, J. Rättyä, Fanglei Wu
semanticscholar +1 more source
Toeplitz operators and skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains [PDF]
Journal of operator theory, 2019 In this paper we study mapping properties of Toeplitz-like operators on weighted Bergman spaces of bounded strongly pseudconvex domains in $\mathbb{C}^n$.
M. Abate, Samuele Mongodi, Jasmin Raissy
semanticscholar +1 more source
Compact linear combination of composition operators on Bergman spaces
Journal of Functional Analysis, 2020 Motivated by the question of Shapiro and Sundberg raised in 1990, study on linear combinations of composition operators has been a topic of growing interest.
B. Choe, H. Koo, Maofa Wang
semanticscholar +1 more source
Zero Sets for Spaces of Analytic Functions [PDF]
, 2018 We show that under mild conditions, a Gaussian analytic function $\boldsymbol F$ that a.s. does not belong to a given weighted Bergman space or Bargmann-Fock space has the property that a.s.
Lyons, Russell, Zhai, Alex
core +3 more sources
Harmonic conjugates on Bergman spaces induced by doubling weights [PDF]
Analysis and Mathematical Physics, 2019 A radial weight $$\omega $$ ω belongs to the class $$\widehat{\mathcal {D}}$$ D ^ if there exists $$C=C(\omega )\ge 1$$ C = C ( ω ) ≥ 1 such that $$\int _r^1 \omega (s)\,ds\le C\int _{\frac{1+r}{2}}^1\omega (s)\,ds$$ ∫ r 1 ω ( s ) d s ≤ C ∫ 1 + r 2 1 ω (
J. A. Peláez, J. Rättyä
semanticscholar +1 more source
Radial operators on polyanalytic weighted Bergman spaces [PDF]
Boletín de la Sociedad Matematica Mexicana, 2020 Let μα\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu _\alpha$$\end ...
Roberto Mois'es Barrera-Castel'an +2 more
semanticscholar +1 more source
ON DECOMPOSITION THEOREMS OF MULTIFUNCTIONAL BERGMAN TYPE SPACES IN SOME DOMAINS IN Cn
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 We present some extensions of well-known one functional results on atomic decompositions in classical Bergman spaces obtained earlier by various authors in some new multifunctional Bergman type spaces in various domains in higher dimension.
R. F. Shamoyan
doaj +1 more source
On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn
Journal of Function Spaces, 2014 Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to ...
Romi F. Shamoyan, Olivera Mihić
doaj +1 more source