Results 31 to 40 of about 110,950 (276)
Centered weighted composition operators via measure theory [PDF]
Mathematica Bohemica, 2018 We describe the centered weighted composition operators on $L^2(\Sigma)$ in terms of their defining symbols. Our characterizations extend Embry-Wardrop-Lambert's theorem on centered composition operators.
Mohammad Reza Jabbarzadeh +1 more
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Weighted Composition Operators between Weighted Bergman Spaces and Weighted Banach Spaces of Holomorphic Functions [PDF]
, 2008 We characterize boundedness and compactness of weighted composition operators acting between weighted Bergman spaces Aw;p and weighted Banach spaces H1v of holomorphic functions.We characterize boundedness and compactness of weighted composition ...
Wolf, Elke
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Invertible and Isometric Weighted Composition Operators
Mediterranean Journal of Mathematics, 2022 AbstractWe consider abstract Banach spaces of analytic functions on general bounded domains that satisfy only a minimum number of axioms. We describe all invertible (equivalently, surjective) weighted composition operators acting on such spaces. For the spaces of analytic functions in the disk whose norm is given in terms of a natural seminorm (such ...
Alejandro Mas, Dragan Vukotić
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Invertible weighted composition operators [PDF]
Proceedings of the American Mathematical Society, 2013 11 pages, to be published in the Proceedings of the American Mathematical ...
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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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Fredholm Weighted Composition Operator on Weighted Hardy Space [PDF]
Journal of Function Spaces and Applications, 2013 This paper gives a unified characterization of Fredholm weighted composition operator on a class of weighted Hardy spaces.
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Spectra of Weighted Composition Operators with Quadratic Symbols
Concrete Operators, 2022 Previously, spectra of certain weighted composition operators W ѱ, φ on H2 were determined under one of two hypotheses: either φ converges under iteration to the Denjoy-Wolff point uniformly on all of 𝔻 rather than simply on compact subsets, or φ is ...
Doctor Jessica +4 more
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Discrete Dynamics in Nature and Society, 2009 We study the boundedness and compactness of the weighted composition operators as well as integral-type operators between weighted Hardy spaces on the unit ball.
Stevo Stević, Sei-Ichiro Ueki
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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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