Compact differences of weighted composition operators on weighted banach spaces of analytic functions

J. S. Manhas

doi:10.1007/s00020-008-1630-5

Compact differences of weighted composition operators on weighted banach spaces of analytic functions

J. S. Manhas

Mathematics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

Let H_μ^∞ (double-struck D sign) be the weighted Banach space of analytic functions with a topology generated by weighted sup-norm. In the present article, we investigate the analytic mappings φ1*phi;2:double-struck D sign → double-struck D sign and θ π : double-struck D sign → ℂ which characterize the compactness of differences of two weighted composition operators Wφ1,θ -Wφ2,π on the space H_μ^∞ (double-struck D sign) . As a consequence we characterize the compactness of differences of composition operators on weighted Bloch spaces.

Original language	English
Pages (from-to)	419-428
Number of pages	10
Journal	Integral Equations and Operator Theory
Volume	62
Issue number	3
DOIs	https://doi.org/10.1007/s00020-008-1630-5
Publication status	Published - Nov 2008

Keywords

Compact oerator
Weighted Banach space of analytic functions
Weighted composition operator
Weighted sup-norm

ASJC Scopus subject areas

Analysis
Algebra and Number Theory

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10.1007/s00020-008-1630-5

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AB - Let Hμ∞ (double-struck D sign) be the weighted Banach space of analytic functions with a topology generated by weighted sup-norm. In the present article, we investigate the analytic mappings φ1*phi;2:double-struck D sign → double-struck D sign and θ π : double-struck D sign → ℂ which characterize the compactness of differences of two weighted composition operators Wφ1,θ -Wφ2,π on the space Hμ∞ (double-struck D sign) . As a consequence we characterize the compactness of differences of composition operators on weighted Bloch spaces.

KW - Compact oerator

KW - Weighted Banach space of analytic functions

KW - Weighted composition operator

KW - Weighted sup-norm

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JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

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ER -

Compact differences of weighted composition operators on weighted banach spaces of analytic functions

Abstract

Keywords

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