Some weighted norm inequalities for a one-sided version of g* λ

Autores
De Rosa, L.; Segovia, C.
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the boundedness of the one-sided operator g λ,φ + between the weighted spaces L p(M - w) and L p(w) for every weight w. If λ = 2/p whenever 1 < p < 2, and in the case p = 1 for λ > 2, we prove the weak type of g λ,φ + For every λ > 1 and p = 2, or λ > 2/p and 1 < p < 2, the boundedness of this operator is obtained. For p > 2 and λ > 1, we obtain the boundedness of g λ,φ + from L p((M -) [p/2]+1w) to L p(w), where (M -) k denotes the operator M - iterated k times.
Fil:De Rosa, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
Fuente
Stud. Math. 2006;176(1):21-36
Materia
Littlewood-Paley theory
One-sided maximal functions
One-sided weights
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/2.5/ar
Repositorio
Biblioteca Digital (UBA-FCEN)
Institución
Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
OAI Identificador
paperaa:paper_00393223_v176_n1_p21_DeRosa
Acceder
id BDUBAFCEN_f5c4cc2e93df7e28b8b84cf9dcdb9013
oai_identifier_str paperaa:paper_00393223_v176_n1_p21_DeRosa
network_acronym_str BDUBAFCEN
repository_id_str 1896
network_name_str Biblioteca Digital (UBA-FCEN)
spelling Some weighted norm inequalities for a one-sided version of g* λDe Rosa, L.Segovia, C.Littlewood-Paley theoryOne-sided maximal functionsOne-sided weightsWe study the boundedness of the one-sided operator g λ,φ + between the weighted spaces L p(M - w) and L p(w) for every weight w. If λ = 2/p whenever 1 &lt; p &lt; 2, and in the case p = 1 for λ &gt; 2, we prove the weak type of g λ,φ + For every λ &gt; 1 and p = 2, or λ &gt; 2/p and 1 &lt; p &lt; 2, the boundedness of this operator is obtained. For p &gt; 2 and λ &gt; 1, we obtain the boundedness of g λ,φ + from L p((M -) [p/2]+1w) to L p(w), where (M -) k denotes the operator M - iterated k times.Fil:De Rosa, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.2006info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://hdl.handle.net/20.500.12110/paper_00393223_v176_n1_p21_DeRosaStud. Math. 2006;176(1):21-36reponame:Biblioteca Digital (UBA-FCEN)instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesinstacron:UBA-FCENenginfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/2.5/ar2025-09-04T09:48:47Zpaperaa:paper_00393223_v176_n1_p21_DeRosaInstitucionalhttps://digital.bl.fcen.uba.ar/Universidad públicaNo correspondehttps://digital.bl.fcen.uba.ar/cgi-bin/oaiserver.cgiana@bl.fcen.uba.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:18962025-09-04 09:48:48.873Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturalesfalse
dc.title.none.fl_str_mv Some weighted norm inequalities for a one-sided version of g* λ
title Some weighted norm inequalities for a one-sided version of g* λ
spellingShingle Some weighted norm inequalities for a one-sided version of g* λ
De Rosa, L.
Littlewood-Paley theory
One-sided maximal functions
One-sided weights
title_short Some weighted norm inequalities for a one-sided version of g* λ
title_full Some weighted norm inequalities for a one-sided version of g* λ
title_fullStr Some weighted norm inequalities for a one-sided version of g* λ
title_full_unstemmed Some weighted norm inequalities for a one-sided version of g* λ
title_sort Some weighted norm inequalities for a one-sided version of g* λ
dc.creator.none.fl_str_mv De Rosa, L.
Segovia, C.
author De Rosa, L.
author_facet De Rosa, L.
Segovia, C.
author_role author
author2 Segovia, C.
author2_role author
dc.subject.none.fl_str_mv Littlewood-Paley theory
One-sided maximal functions
One-sided weights
topic Littlewood-Paley theory
One-sided maximal functions
One-sided weights
dc.description.none.fl_txt_mv We study the boundedness of the one-sided operator g λ,φ + between the weighted spaces L p(M - w) and L p(w) for every weight w. If λ = 2/p whenever 1 &lt; p &lt; 2, and in the case p = 1 for λ &gt; 2, we prove the weak type of g λ,φ + For every λ &gt; 1 and p = 2, or λ &gt; 2/p and 1 &lt; p &lt; 2, the boundedness of this operator is obtained. For p &gt; 2 and λ &gt; 1, we obtain the boundedness of g λ,φ + from L p((M -) [p/2]+1w) to L p(w), where (M -) k denotes the operator M - iterated k times.
Fil:De Rosa, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina.
description We study the boundedness of the one-sided operator g λ,φ + between the weighted spaces L p(M - w) and L p(w) for every weight w. If λ = 2/p whenever 1 &lt; p &lt; 2, and in the case p = 1 for λ &gt; 2, we prove the weak type of g λ,φ + For every λ &gt; 1 and p = 2, or λ &gt; 2/p and 1 &lt; p &lt; 2, the boundedness of this operator is obtained. For p &gt; 2 and λ &gt; 1, we obtain the boundedness of g λ,φ + from L p((M -) [p/2]+1w) to L p(w), where (M -) k denotes the operator M - iterated k times.
publishDate 2006
dc.date.none.fl_str_mv 2006
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/20.500.12110/paper_00393223_v176_n1_p21_DeRosa
url http://hdl.handle.net/20.500.12110/paper_00393223_v176_n1_p21_DeRosa
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/2.5/ar
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/2.5/ar
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv Stud. Math. 2006;176(1):21-36
reponame:Biblioteca Digital (UBA-FCEN)
instname:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron:UBA-FCEN
reponame_str Biblioteca Digital (UBA-FCEN)
collection Biblioteca Digital (UBA-FCEN)
instname_str Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
instacron_str UBA-FCEN
institution UBA-FCEN
repository.name.fl_str_mv Biblioteca Digital (UBA-FCEN) - Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
repository.mail.fl_str_mv ana@bl.fcen.uba.ar
_version_ 1842340707863363584
score 12.623145

Publicaciones similares