JOURNAL ARTICLE

WEIGHTED COMPOSITION OPERATORS FROM BERGMAN SPACES INTO WEIGHTED BLOCH SPACES

Songxiao Li

Year: 2005 Journal:   Communications of the Korean Mathematical Society Vol: 20 (1)Pages: 63-70   Publisher: Korean Mathematical Society

Abstract

In this paper we study bounded and compact weighted composition operator, induced by a fixed analytic function and an analytic self-map of the open unit disk, from Bergman space into weighted Bloch space. As a corollary, obtain the characterization of composition operator from Bergman space into weighted Bloch space.

Keywords:
Bloch space Mathematics Bergman space Composition operator Corollary Unit disk Bounded function Space (punctuation) Composition (language) Analytic function Bergman kernel Pure mathematics Mathematical analysis Operator space Operator (biology) Multiplication operator Finite-rank operator Hilbert space Banach space

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6
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0.53
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Citation History

Topics

Holomorphic and Operator Theory
Physical Sciences →  Mathematics →  Applied Mathematics
Algebraic and Geometric Analysis
Physical Sciences →  Mathematics →  Applied Mathematics
Advanced Topics in Algebra
Physical Sciences →  Mathematics →  Algebra and Number Theory

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