Results 1 to 10 of about 7,620,087 (354)
HYPERCYCLIC COMPOSITION OPERATORS
Journal of Vasyl Stefanyk Precarpathian National University, 2015 In this paper we give survey of hypercyclic composition operators. In pacticular,we represent new classes of hypercyclic composition operators on the spaces of analyticfunctions.
Z.H. Mozhyrovska
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Antinormal Weighted Composition Operators [PDF]
Abstract and Applied Analysis, 2016 Let l2=L2N,μ, where N is set of all positive integers and μ is the counting measure whose σ-algebra is the power set of N. In this paper, we obtain necessary and sufficient conditions for a weighted composition operator to be antinormal on the Hilbert ...
Dilip Kumar, Harish Chandra
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Composition operators on the polydisc [PDF]
Journal of Functional Analysis, 2022 In this paper we study the boundedness of composition operators on the weighted Bergman spaces and the Hardy space over the polydisc D n . Study-ing the volume of sublevel sets we show for which n the necessary conditions obtained by Bayart are sufficient.
Łukasz Kosiński
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Weighted composition operators on the Bloch space of a bounded homogeneous domain [PDF]
, 2022 In this paper, we present the current results in the study of weighted composition operators on the Bloch space of bounded homogeneous domains in $\mathbb{C}^n$ with particular emphasis on the issues of boundedness and compactness.
R. F. Allen, Flavia Colonna
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A mean counting function for Dirichlet series and compact composition operators [PDF]
Advances in Mathematics, 2020 We introduce a mean counting function for Dirichlet series, which plays the same role in the function theory of Hardy spaces of Dirichlet series as the Nevanlinna counting function does in the classical theory. The existence of the mean counting function
Ole Fredrik Brevig, Karl-Mikael Perfekt
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Chaos and frequent hypercyclicity for composition operators [PDF]
Proceedings of the Edinburgh Mathematical Society, 2020 The notions of chaos and frequent hypercyclicity enjoy an intimate relationship in linear dynamics. Indeed, after a series of partial results, it was shown by Bayart and Ruzsa in 2015 that for backward weighted shifts on $\ell _p(\mathbb {Z})$, the ...
U. Darji, B. Pires
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Compact differences of weighted composition operators [PDF]
Collectanea Mathematica, 2020 Compact differences of two weighted composition operators acting from the weighted Bergman space Aωp\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Bin Liu, J. Rättyä
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On Composition Operators on N+(?) [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 1998 Let N(?) denote the class of analytic functions fin a domain ?, contained in the complex numbers C, such that log(1+| f |) has a harmonic majorant. The subclass N+(?) of N(?) consists of all f such that log(1+| f |) has a quasi-bounded harmonic majorant.
Mahmud Masri
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On Composition Operators on A2 [PDF]
مجلة جامعة النجاح للأبحاث العلوم الطبيعية, 1995 If (?) is an analytic function mapping the open unit disk D into itself and A2 is the Bergman space of analytic functions on D, the compositon operator C?, on A2 is defined by C?f=fo?feA2.
Mahmud Ilayyan Masri
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Concrete Operators, 2022 Let (X, 𝒜, μ) be a σ−finite measure space. A transformation ϕ : X → X is non-singular if μ ∘ ϕ−1 is absolutely continuous with respect with μ. For this non-singular transformation, the composition operator Cϕ: 𝒟(Cϕ) → L2(μ) is defined by Cϕf = f ∘ ϕ, f ∈
Zhou Hang
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