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The Cesàro and related operators, a survey

V. G. Miller

Banach Center Publications (2007)

  • Volume: 75, Issue: 1, page 233-247
  • ISSN: 0137-6934

Abstract

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We provide a survey of properties of the Cesàro operator on Hardy and weighted Bergman spaces, along with its connections to semigroups of weighted composition operators. We also describe recent developments regarding Cesàro-like operators and indicate some open questions and directions of future research.

How to cite

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V. G. Miller. "The Cesàro and related operators, a survey." Banach Center Publications 75.1 (2007): 233-247. <http://eudml.org/doc/282576>.

@article{V2007,
abstract = {We provide a survey of properties of the Cesàro operator on Hardy and weighted Bergman spaces, along with its connections to semigroups of weighted composition operators. We also describe recent developments regarding Cesàro-like operators and indicate some open questions and directions of future research.},
author = {V. G. Miller},
journal = {Banach Center Publications},
keywords = {Cesàro operator; operator semigroups; decomposable operators; Bishop’s property },
language = {eng},
number = {1},
pages = {233-247},
title = {The Cesàro and related operators, a survey},
url = {http://eudml.org/doc/282576},
volume = {75},
year = {2007},
}

TY - JOUR
AU - V. G. Miller
TI - The Cesàro and related operators, a survey
JO - Banach Center Publications
PY - 2007
VL - 75
IS - 1
SP - 233
EP - 247
AB - We provide a survey of properties of the Cesàro operator on Hardy and weighted Bergman spaces, along with its connections to semigroups of weighted composition operators. We also describe recent developments regarding Cesàro-like operators and indicate some open questions and directions of future research.
LA - eng
KW - Cesàro operator; operator semigroups; decomposable operators; Bishop’s property
UR - http://eudml.org/doc/282576
ER -

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