Approximation numbers of composition operators on weighted besov spaces of analytic functions

Stamatis Pouliasis

doi:10.1017/S0013091522000086

Approximation numbers of composition operators on weighted besov spaces of analytic functions

Stamatis Pouliasis

Mathematics and Statistics

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

Abstract

Li et al. [A spectral radius type formula for approximation numbers of composition operators, J. Funct. Anal. 267(12) (2014), 4753-4774] proved a spectral radius type formula for the approximation numbers of composition operators on analytic Hilbert spaces with radial weights and on spaces, involving Green capacity. We prove that their formula holds for a wide class of Banach spaces of analytic functions and weights.

Original language	English
Journal	Proceedings of the Edinburgh Mathematical Society
DOIs	https://doi.org/10.1017/S0013091522000086
State	Accepted/In press - 2022

Keywords

Bagby points
Besov spaces
approximation numbers
composition operators
condenser capacity

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abstract = "Li et al. [A spectral radius type formula for approximation numbers of composition operators, J. Funct. Anal. 267(12) (2014), 4753-4774] proved a spectral radius type formula for the approximation numbers of composition operators on analytic Hilbert spaces with radial weights and on spaces, involving Green capacity. We prove that their formula holds for a wide class of Banach spaces of analytic functions and weights. ",

keywords = "Bagby points, Besov spaces, approximation numbers, composition operators, condenser capacity",

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AB - Li et al. [A spectral radius type formula for approximation numbers of composition operators, J. Funct. Anal. 267(12) (2014), 4753-4774] proved a spectral radius type formula for the approximation numbers of composition operators on analytic Hilbert spaces with radial weights and on spaces, involving Green capacity. We prove that their formula holds for a wide class of Banach spaces of analytic functions and weights.

KW - Bagby points

KW - Besov spaces

KW - approximation numbers

KW - composition operators

KW - condenser capacity

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DO - 10.1017/S0013091522000086

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JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

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Approximation numbers of composition operators on weighted besov spaces of analytic functions

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Keywords

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