Characterization of Schatten class Hankel operators on weighted Bergman spaces

We completely characterize the simultaneous membership in the Schatten ideals $S_{p,} 0 < p < \infty$ of the Hankel operators $H_{f}$ and $H_{\overline{f}}$ on the Bergman space, in terms of the behavior of a local mean oscillation function, proving a conjecture of Kehe Zhu from 1991.

Detalles Bibliográficos
Autor: Pau, Jordi
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2016
País:España
Institución:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat:2445/102130
Acceso en línea:https://hdl.handle.net/2445/102130
Access Level:acceso abierto
Palabra clave:Teoria d'operadors
Operadors lineals
Funcions de variables complexes
Funcions de diverses variables complexes
Operator theory
Linear operators
Functions of complex variables
Functions of several complex variables
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spelling Characterization of Schatten class Hankel operators on weighted Bergman spacesPau, JordiTeoria d'operadorsOperadors linealsFuncions de variables complexesFuncions de diverses variables complexesOperator theoryLinear operatorsFunctions of complex variablesFunctions of several complex variablesWe completely characterize the simultaneous membership in the Schatten ideals $S_{p,} 0 < p < \infty$ of the Hankel operators $H_{f}$ and $H_{\overline{f}}$ on the Bergman space, in terms of the behavior of a local mean oscillation function, proving a conjecture of Kehe Zhu from 1991.Duke University Press2016201620162016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/102130Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésReproducció del document publicat a: http://dx.doi.org/10.1215/00127094-3627310Duke Mathematical Journal, 2016http://dx.doi.org/10.1215/00127094-3627310(c) Duke University Press, 2016info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1021302026-05-29T05:05:01Z
dc.title.none.fl_str_mv Characterization of Schatten class Hankel operators on weighted Bergman spaces
title Characterization of Schatten class Hankel operators on weighted Bergman spaces
spellingShingle Characterization of Schatten class Hankel operators on weighted Bergman spaces
Pau, Jordi
Teoria d'operadors
Operadors lineals
Funcions de variables complexes
Funcions de diverses variables complexes
Operator theory
Linear operators
Functions of complex variables
Functions of several complex variables
title_short Characterization of Schatten class Hankel operators on weighted Bergman spaces
title_full Characterization of Schatten class Hankel operators on weighted Bergman spaces
title_fullStr Characterization of Schatten class Hankel operators on weighted Bergman spaces
title_full_unstemmed Characterization of Schatten class Hankel operators on weighted Bergman spaces
title_sort Characterization of Schatten class Hankel operators on weighted Bergman spaces
dc.creator.none.fl_str_mv Pau, Jordi
author Pau, Jordi
author_facet Pau, Jordi
author_role author
dc.subject.none.fl_str_mv Teoria d'operadors
Operadors lineals
Funcions de variables complexes
Funcions de diverses variables complexes
Operator theory
Linear operators
Functions of complex variables
Functions of several complex variables
topic Teoria d'operadors
Operadors lineals
Funcions de variables complexes
Funcions de diverses variables complexes
Operator theory
Linear operators
Functions of complex variables
Functions of several complex variables
description We completely characterize the simultaneous membership in the Schatten ideals $S_{p,} 0 < p < \infty$ of the Hankel operators $H_{f}$ and $H_{\overline{f}}$ on the Bergman space, in terms of the behavior of a local mean oscillation function, proving a conjecture of Kehe Zhu from 1991.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016
2016
2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/102130
url https://hdl.handle.net/2445/102130
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://dx.doi.org/10.1215/00127094-3627310
Duke Mathematical Journal, 2016
http://dx.doi.org/10.1215/00127094-3627310
dc.rights.none.fl_str_mv (c) Duke University Press, 2016
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Duke University Press, 2016
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Duke University Press
publisher.none.fl_str_mv Duke University Press
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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