Results 1 to 10 of about 11,193 (264)

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 ...
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Generalized Weighted Composition Operators on Weighted Bergman Spaces [PDF]

Numerical Functional Analysis and Optimization, 2009
Summary: The boundedness, compactness, essential norm, Hilbert-Schmidt class and order boundedness of generalized weighted composition operators on weighted Bergman spaces are investigated in this paper. For Part I, see [\textit{X. Zhu}, Numer. Funct. Anal. Optim. 30, No. 7--8, 881--893 (2009; Zbl 1183.47030)].
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Operators commuting with complex symmetric weighted composition operators on H 2

Concrete Operators
In this article, we initially study when an anti-linear Toeplitz operator is in the commutant of a composition operator. Primarily, we investigate weighted composition operators Wg,ψ{W}_{g,\psi } commuting with complex symmetric weighted composition ...
Bhuia Sudip Ranjan
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Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces

Abstract and Applied Analysis, 2008
We estimate the essential norm of a compact weighted composition operator 𝑢𝐶𝜑 acting between different Hardy spaces of the unit ball in ℂ𝑁. Also we will discuss a compact multiplication operator between Hardy spaces.
Sei-Ichiro Ueki, Luo Luo
doaj   +1 more source

Norms of Composition Operators from Weighted Harmonic Bloch Spaces into Weighted Harmonic Zygmund Spaces

Journal of Function Spaces
This article examines the norms of composition operators from the weighted harmonic Bloch space BHλ ...
Munirah Aljuaid, M. A. Bakhit
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Product Type Operators Involving Radial Derivative Operator Acting between Some Analytic Function Spaces

Mathematics, 2021
Let N denote the set of all positive integers and N0=N∪{0}. For m∈N, let Bm={z∈Cm:|z|
Manisha Devi, Kuldip Raj, Mohammad Mursaleen   +2 more
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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, Hernández-Dı́az, Alfredo G   +1 more
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Nonvanishing Preservers and Compact Weighted Composition Operators between Spaces of Lipschitz Functions

Abstract and Applied Analysis, 2013
We will give the -Lipschitz version of the Banach-Stone type theorems for lattice-valued -Lipschitz functions on some metric spaces. In particular, when and are bounded metric spaces, if is a nonvanishing preserver, then is a weighted composition ...
Dongyang Chen, Lei Li, Risheng Wang, Ya-Shu Wang   +3 more
doaj   +1 more source

Weighted Composition Operators Between Different Fock Spaces [PDF]

Potential Analysis, 2018
We study weighted composition operators acting between Fock spaces. The following results are obtained: (1) Criteria for the boundedness and compactness; (2) Characterizations of compact differences and essential norm; (3) Complete descriptions of path connected components and isolated points of the space of composition operators and the space of ...
Tien, Pham Trong, Khoi, Le Hai
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Analytic Morrey Spaces and Bloch-Type Spaces

Journal of Function Spaces, 2018
This paper is devoted to characterizing the boundedness of the Riemann-Stieltjes operators from analytic Morrey spaces to Bloch-type spaces. Moreover, the boundedness of the superposition operator and weighted composition operator on analytic Morrey ...
Ofori Samuel, Jianfei Wang, Yile Zhao
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