Results 41 to 50 of about 63,505 (342)
Compact differences of weighted composition operators on the weighted Bergman spaces
Journal of Inequalities and Applications, 2017 In this paper, we consider the compact differences of weighted composition operators on the standard weighted Bergman spaces. Some necessary and sufficient conditions for the differences of weighted composition operators to be compact are given, which ...
Maocai Wang, Xingxing Yao, Fen Chen
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Sums of Weighted Differentiation Composition Operators [PDF]
Complex Analysis and Operator Theory, 2019 We solve an interpolation problem in $A^p_ $ involving specifying a set of (possibly not distinct) $n$ points, where the $k^{\textrm{th}}$ derivative at the $k^{\textrm{th}}$ point is up to a constant as large as possible for functions of unit norm. The solution obtained has norm bounded by a constant independent of the points chosen.
Soumyadip Acharyya, Timothy Ferguson
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Composition Operators from the Weighted Bergman Space to the 𝑛th Weighted Spaces on the Unit Disc
Discrete Dynamics in Nature and Society, 2009 The boundedness of the composition operator from the weighted Bergman space to the recently introduced by the author, the 𝑛th weighted space on the unit disc, is characterized.
Stevo Stević
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Weighted composition operators [PDF]
, 2012 published_or_final_version ; Mathematics ; Master ; Master of ...
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On the Closed Range Weighted Composition–Differentiation Operator
Complex Analysis and Operator TheoryWe provide a number of conditions which characterize the closed range weighted composition–differentiation operator $$D_{(u,\psi ,n)}$$ D ( u
Tesfa Mengestie
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A generalization of the Aleksandrov operator and adjoints of weighted composition operators [PDF]
Annales de l’institut Fourier, 2013 A generalization of the Aleksandrov operator is provided, in order to represent the adjoint of a weighted composition operator on H-2 by means of an integral with respect to a measure. In particular, we show the existence of a family of measures which represents the adjoint of a weighted composition operator under fairly mild assumptions, and we ...
Gallardo Gutiérrez, Eva Antonia +1 more
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Mediterranean Journal of Mathematics, 2021 Given an affine symbol φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\
M. Beltrán-Meneu, E. Jordá
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Invertible weighted composition operators
Journal of Functional Analysis, 2011 AbstractA weighted composition operator Cψ,φ takes an analytic map f on the open unit disc of the complex plane to the analytic map ψ⋅f∘φ where φ is an analytic map of the open unit disc into itself and ψ is an analytic map on the open unit disc. This paper studies the invertibility of such operators.
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A Review on Classes of Composition Operators
پژوهشهای ریاضی, 2020 Introduction In 1976, A. Lambert characterized subnormal weighted shifts. Then he studied hyponormal weighted composition operators on in 1986 and in 1988 subnormal composition operators studied again by him. Recently, A. Lambert, et al., have published
Mohammadreza Azimi
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Differences of weighted composition operators
Collectanea mathematica, 2009 We consider differences of weighted composition operators between given weighted Bergman spaces Hν∞ of infinite order and characterize boundedness and the essential norm of these differences.
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