Generalized Bessel potentials on Lipschitz type spaces

Autores
Iaffei, Bibiana Raquel
Año de publicación
2005
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We introduce generalizations of Bessel potentials by considering operators of the form ℓ [(I - Δ) -1/2] where the functions ℓ extend the classical power case. The kernel of such an operator is subordinate to a growth function η. We explore conditions on η in such a way that these operators become isomorphisms between generalized Lipschitz spaces.
Fil: Iaffei, Bibiana Raquel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Materia
BESSEL POTENTIAL
FUNCTIONAL SPACES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/84277

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network_name_str CONICET Digital (CONICET)
spelling Generalized Bessel potentials on Lipschitz type spacesIaffei, Bibiana RaquelBESSEL POTENTIALFUNCTIONAL SPACEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We introduce generalizations of Bessel potentials by considering operators of the form ℓ [(I - Δ) -1/2] where the functions ℓ extend the classical power case. The kernel of such an operator is subordinate to a growth function η. We explore conditions on η in such a way that these operators become isomorphisms between generalized Lipschitz spaces.Fil: Iaffei, Bibiana Raquel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaWiley VCH Verlag2005-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84277Iaffei, Bibiana Raquel; Generalized Bessel potentials on Lipschitz type spaces; Wiley VCH Verlag; Mathematische Nachrichten; 278; 4; 12-2005; 421-4360025-584XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1002/mana.200310250info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:14:07Zoai:ri.conicet.gov.ar:11336/84277instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:14:08.129CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Generalized Bessel potentials on Lipschitz type spaces
title Generalized Bessel potentials on Lipschitz type spaces
spellingShingle Generalized Bessel potentials on Lipschitz type spaces
Iaffei, Bibiana Raquel
BESSEL POTENTIAL
FUNCTIONAL SPACES
title_short Generalized Bessel potentials on Lipschitz type spaces
title_full Generalized Bessel potentials on Lipschitz type spaces
title_fullStr Generalized Bessel potentials on Lipschitz type spaces
title_full_unstemmed Generalized Bessel potentials on Lipschitz type spaces
title_sort Generalized Bessel potentials on Lipschitz type spaces
dc.creator.none.fl_str_mv Iaffei, Bibiana Raquel
author Iaffei, Bibiana Raquel
author_facet Iaffei, Bibiana Raquel
author_role author
dc.subject.none.fl_str_mv BESSEL POTENTIAL
FUNCTIONAL SPACES
topic BESSEL POTENTIAL
FUNCTIONAL SPACES
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We introduce generalizations of Bessel potentials by considering operators of the form ℓ [(I - Δ) -1/2] where the functions ℓ extend the classical power case. The kernel of such an operator is subordinate to a growth function η. We explore conditions on η in such a way that these operators become isomorphisms between generalized Lipschitz spaces.
Fil: Iaffei, Bibiana Raquel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
description We introduce generalizations of Bessel potentials by considering operators of the form ℓ [(I - Δ) -1/2] where the functions ℓ extend the classical power case. The kernel of such an operator is subordinate to a growth function η. We explore conditions on η in such a way that these operators become isomorphisms between generalized Lipschitz spaces.
publishDate 2005
dc.date.none.fl_str_mv 2005-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/84277
Iaffei, Bibiana Raquel; Generalized Bessel potentials on Lipschitz type spaces; Wiley VCH Verlag; Mathematische Nachrichten; 278; 4; 12-2005; 421-436
0025-584X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/84277
identifier_str_mv Iaffei, Bibiana Raquel; Generalized Bessel potentials on Lipschitz type spaces; Wiley VCH Verlag; Mathematische Nachrichten; 278; 4; 12-2005; 421-436
0025-584X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1002/mana.200310250
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Wiley VCH Verlag
publisher.none.fl_str_mv Wiley VCH Verlag
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432