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

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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...

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Detalles Bibliográficos
Autores principales: De Rosa, L., Segovia, C.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2006
Materias:
Littlewood-Paley theory
One-sided maximal functions
One-sided weights
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00393223_v176_n1_p21_DeRosa
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_00393223_v176_n1_p21_DeRosa
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spelling paperaa:paper_00393223_v176_n1_p21_DeRosa2023-06-12T16:45:38Z Some weighted norm inequalities for a one-sided version of g* λ Stud. Math. 2006;176(1):21-36 De Rosa, L. Segovia, C. Littlewood-Paley theory One-sided maximal functions One-sided weights 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. 2006 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00393223_v176_n1_p21_DeRosa
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Littlewood-Paley theory
One-sided maximal functions
One-sided weights
spellingShingle Littlewood-Paley theory
One-sided maximal functions
One-sided weights
De Rosa, L.
Segovia, C.
Some weighted norm inequalities for a one-sided version of g* λ
topic_facet Littlewood-Paley theory
One-sided maximal functions
One-sided weights
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 < 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.
format Artículo
Artículo
publishedVersion
author De Rosa, L.
Segovia, C.
author_facet De Rosa, L.
Segovia, C.
author_sort De Rosa, L.
title Some weighted norm inequalities for a one-sided version of g* λ
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
publishDate 2006
url http://hdl.handle.net/20.500.12110/paper_00393223_v176_n1_p21_DeRosa
work_keys_str_mv AT derosal someweightednorminequalitiesforaonesidedversionofgl
AT segoviac someweightednorminequalitiesforaonesidedversionofgl
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