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Resolvent estimates and decomposable extensions of generalized Cesaro operators

Aleman, Alexandru LU and Persson, Anna-Maria LU (2010) In Journal of Functional Analysis 258(1). p.67-98
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Cesaro operator, Spaces of analytic functions, Decomposable extension
in
Journal of Functional Analysis
volume
258
issue
1
pages
67 - 98
publisher
Elsevier
external identifiers
  • wos:000271729100004
  • scopus:70350382712
ISSN
0022-1236
DOI
10.1016/j.jfa.2009.10.006
language
English
LU publication?
yes
id
374ba585-78b4-431b-ac0a-3ffba0735ec2 (old id 1535758)
date added to LUP
2010-01-26 16:17:05
date last changed
2018-05-29 09:59:06
@article{374ba585-78b4-431b-ac0a-3ffba0735ec2,
  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.},
  author       = {Aleman, Alexandru and Persson, Anna-Maria},
  issn         = {0022-1236},
  keyword      = {Cesaro operator,Spaces of analytic functions,Decomposable extension},
  language     = {eng},
  number       = {1},
  pages        = {67--98},
  publisher    = {Elsevier},
  series       = {Journal of Functional Analysis},
  title        = {Resolvent estimates and decomposable extensions of generalized Cesaro operators},
  url          = {http://dx.doi.org/10.1016/j.jfa.2009.10.006},
  volume       = {258},
  year         = {2010},
}