Resolvent estimates and decomposable extensions of generalized Cesaro operators

Alexandru Aleman; Anna-Maria Persson

doi:10.1016/j.jfa.2009.10.006

Resolvent estimates and decomposable extensions of generalized Cesaro operators

Alexandru Aleman, Anna-Maria Persson

Mathematics (Faculty of Sciences)

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

Abstract

We determine the spectrum of generalized Cesaro operators with essentially rational symbols acting on various spaces of analytic functions, including Hardy spaces, weighted Bergman and Dirichlet spaces. Then we show that in all cases these operators are subdecomposable. (C) 2009 Elsevier Inc. All rights reserved.

Original language	English
Pages (from-to)	67-98
Journal	Journal of Functional Analysis
Volume	258
Issue number	1
DOIs	https://doi.org/10.1016/j.jfa.2009.10.006
Publication status	Published - 2010

Subject classification (UKÄ)

Mathematics

Free keywords

Cesaro operator
Spaces of analytic functions
Decomposable extension

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10.1016/j.jfa.2009.10.006

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title = "Resolvent estimates and decomposable extensions of generalized Cesaro operators",

abstract = "We determine the spectrum of generalized Cesaro operators with essentially rational symbols acting on various spaces of analytic functions, including Hardy spaces, weighted Bergman and Dirichlet spaces. Then we show that in all cases these operators are subdecomposable. (C) 2009 Elsevier Inc. All rights reserved.",

keywords = "Cesaro operator, Spaces of analytic functions, Decomposable extension",

author = "Alexandru Aleman and Anna-Maria Persson",

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AU - Persson, Anna-Maria

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AB - We determine the spectrum of generalized Cesaro operators with essentially rational symbols acting on various spaces of analytic functions, including Hardy spaces, weighted Bergman and Dirichlet spaces. Then we show that in all cases these operators are subdecomposable. (C) 2009 Elsevier Inc. All rights reserved.

KW - Cesaro operator

KW - Spaces of analytic functions

KW - Decomposable extension

U2 - 10.1016/j.jfa.2009.10.006

DO - 10.1016/j.jfa.2009.10.006

M3 - Article

SN - 0022-1236

VL - 258

SP - 67

EP - 98

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 1

ER -

Resolvent estimates and decomposable extensions of generalized Cesaro operators

Abstract

Subject classification (UKÄ)

Free keywords

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Cite this