Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$

We completely describe the boundedness of the Volterra type operator $J_g$ between Hardy spaces in the unit ball of $\mathbb{C}^n$. The proof of the one dimensional case used tools, such as the strong factorization for Hardy spaces, that are not available in higher dimensions, and therefore other te...

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Detalles Bibliográficos
Autor: Pau, Jordi
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
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:2445/96782
Acceso en línea:https://hdl.handle.net/2445/96782
Access Level:acceso abierto
Palabra clave:Funcions holomorfes
Funcions de variables complexes
Operadors lineals
Holomorphic functions
Functions of complex variables
Linear operators
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spelling Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$Pau, JordiFuncions holomorfesFuncions de variables complexesOperadors linealsHolomorphic functionsFunctions of complex variablesLinear operatorsWe completely describe the boundedness of the Volterra type operator $J_g$ between Hardy spaces in the unit ball of $\mathbb{C}^n$. The proof of the one dimensional case used tools, such as the strong factorization for Hardy spaces, that are not available in higher dimensions, and therefore other techniques must be used. In particular, a generalized version of the description of Hardy spaces in terms of the area function is needed.Elsevier2016201820162016info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersion43 p.application/pdfhttps://hdl.handle.net/2445/96782Articles 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)InglésVersió postprint del document publicat a: http://dx.doi.org/10.1016/j.jfa.2015.10.009Journal of Functional Analysis, 2016, vol. 270, num. 1, p. 134-176http://dx.doi.org/10.1016/j.jfa.2015.10.009cc-by-nc-nd (c) Elsevier, 2016http://creativecommons.org/licenses/by-nc-nd/3.0/esinfo:eu-repo/semantics/openAccessoai:recercat.cat:2445/967822026-05-29T05:05:01Z
dc.title.none.fl_str_mv Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
title Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
spellingShingle Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
Pau, Jordi
Funcions holomorfes
Funcions de variables complexes
Operadors lineals
Holomorphic functions
Functions of complex variables
Linear operators
title_short Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
title_full Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
title_fullStr Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
title_full_unstemmed Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
title_sort Integration operators between Hardy spaces on the unit ball of $\mathbb{C}^n$
dc.creator.none.fl_str_mv Pau, Jordi
author Pau, Jordi
author_facet Pau, Jordi
author_role author
dc.subject.none.fl_str_mv Funcions holomorfes
Funcions de variables complexes
Operadors lineals
Holomorphic functions
Functions of complex variables
Linear operators
topic Funcions holomorfes
Funcions de variables complexes
Operadors lineals
Holomorphic functions
Functions of complex variables
Linear operators
description We completely describe the boundedness of the Volterra type operator $J_g$ between Hardy spaces in the unit ball of $\mathbb{C}^n$. The proof of the one dimensional case used tools, such as the strong factorization for Hardy spaces, that are not available in higher dimensions, and therefore other techniques must be used. In particular, a generalized version of the description of Hardy spaces in terms of the area function is needed.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016
2016
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/96782
url https://hdl.handle.net/2445/96782
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: http://dx.doi.org/10.1016/j.jfa.2015.10.009
Journal of Functional Analysis, 2016, vol. 270, num. 1, p. 134-176
http://dx.doi.org/10.1016/j.jfa.2015.10.009
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Elsevier, 2016
http://creativecommons.org/licenses/by-nc-nd/3.0/es
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Elsevier, 2016
http://creativecommons.org/licenses/by-nc-nd/3.0/es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 43 p.
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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