Essential norms of composition operators and multipliers acting between different Hardy spaces

We compute the essential norms of inclusion operators, composition operators and multipliers acting from a closed subspace of some \(L^p\)-space into a subspace of some \(L^q\)-space, with \(p>q\).

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Publication Details

Journal
Annales Fennici Mathematici
Published
2024-12-04
DOI
https://doi.org/10.54330/afm.152664
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
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article

Essential norms of composition operators and multipliers acting between different Hardy spaces

Frédéric Bayart
Annales Fennici Mathematici
Holomorphic and Operator Theory
article

Essential norms of composition operators and multipliers acting between different Hardy spaces

Frédéric Bayart
article en

Abstract

We compute the essential norms of inclusion operators, composition operators and multipliers acting from a closed subspace of some \(L^p\)-space into a subspace of some \(L^q\)-space, with \(p>q\).

Annales Fennici MathematiciVol. 49(2)
Université Clermont Auvergne (FR), Laboratoire de Mathématiques Blaise Pascal (FR)
Openalex Percentile: Top 99%
Holomorphic and Operator Theory
DOIOpen Access PDFOpenAlex
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Essential norms of composition operators and multipliers acting between different Hardy spaces — Frédéric Bayart · Annales Fennici Mathematici (2024) | TGRS Research Map | TGRS