Results 21 to 30 of about 137,385 (274)
Stability of weighted composition operators between spaces of continuous functions [PDF]
, 2009 Let ϵ>0. A continuous linear operator T:C(X)→C(Y) is said to be ϵ-disjointness preserving if ‖ (Tf)(Tg)‖∞≤ϵ whenever f, g∈C(X) satisfy ‖ f‖∞=‖ g‖∞=1 and fg≡ 0. In this paper we basically address the following question: How close must weighted composition
Araujo Gómez, Jesús, Font, Juan J.
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Product of Composition and Multiplication Operator [PDF]
, 1902 Operators are nothing but the mapping from a topological space to a topological space. When it satisfies the criterion for the linearity, it becomes linear.
Gardia, Sharata Charan
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Topological Structures of Derivative Weighted Composition Operators on the Bergman Space
Journal of Function Spaces, 2015 We characterize the difference of derivative weighted composition operators on the Bergman space in the unit disk and determine when linear-fractional derivative weighted composition operators belong to the same component of the space of derivative ...
Ce-Zhong Tong, Cheng Yuan, Ze-Hua Zhou
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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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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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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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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
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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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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
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