Results 41 to 50 of about 190,726 (359)
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
openaire +3 more sources
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
doaj +1 more source
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
doaj +1 more source
Differences of weighted composition operators
Collectanea mathematica, 2009 Let \(\mathbb D\) be the open unit disk in the complex plane \(\mathbb C\), \(\varphi:{\mathbb D}\rightarrow {\mathbb D}\), \(\psi:{\mathbb D}\rightarrow {\mathbb C}\) be analytic functions. The weighted composition operator is acting on the functions defined on \(\mathbb D\) by the formula \[ (C_{\varphi,\psi}f)(z)=\psi(z)f(\varphi(z)), \quad z\in ...
openaire +3 more sources
ORDER BOUNDED WEIGHTED COMPOSITION OPERATORS [PDF]
Journal of the Australian Mathematical Society, 2012 AbstractLet$\phi $and$\psi $be analytic maps on the open unit disk$D$such that$\phi (D) \subset D$. Such maps induce a weighted composition operator$C_{\phi ,\psi }$acting on weighted Banach spaces of type$H^{\infty }$or on weighted Bergman spaces, respectively. We study when such operators are order bounded.
openaire +1 more source
Dynamics of weighted composition operators on function spaces defined by local properties
, 2019 We study topological transitivity/hypercyclicity and topological (weak) mixing for weighted composition operators on locally convex spaces of scalar-valued functions which are defined by local properties.
Kalmes, Thomas
core +1 more source
Weighted Composition Operators on Hardy Spaces
Journal of Mathematical Analysis and Applications, 2001 This paper studies operators of the form \(f\mapsto (f\circ\varphi)\psi\) acting on Hardy spaces \(H^p\) of the unit disk \(D\), where \(\psi\) is analytic in \(D\) and \(\varphi\) is an analytic self-map of \(D\). Problems studied include the boundedness, compactness, weak compactness, and complete continuity of such operators.
Contreras, Manuel D +1 more
openaire +1 more source
Weighted Composition Operators on Some Weighted Spaces in the Unit Ball
Abstract and Applied Analysis, 2008 Let Bn be the unit ball of Cn, H(Bn) the space of all holomorphic functions in Bn. Let u∈H(Bn) and α be a holomorphic self-map of Bn. For f∈H(Bn), the weigthed composition operator uCα is defined by (uCαf)(z)=u(z)f(α(z)),z∈Bn.
Xiaohong Fu, Xiangling Zhu
doaj +1 more source
Compact generalized weighted composition operators on the Bergman space [PDF]
Opuscula Mathematica, 2017 We characterize the compactness of the generalized weighted composition operators acting on the Bergman space.
Qinghua Hu, Xiangling Zhu
doaj +1 more source
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
doaj