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

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
Autor principal: De Rosa, Liliana Noemí
Publicado: 2006
Materias:
Littlewood-Paley theory
One-sided maximal functions
One-sided weights
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v176_n1_p21_DeRosa
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
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spelling paper:paper_00393223_v176_n1_p21_DeRosa2023-06-08T15:03:31Z Some weighted norm inequalities for a one-sided version of g* λ De Rosa, Liliana Noemí 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v176_n1_p21_DeRosa 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)
topic Littlewood-Paley theory
One-sided maximal functions
One-sided weights
spellingShingle Littlewood-Paley theory
One-sided maximal functions
One-sided weights
De Rosa, Liliana Noemí
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.
author De Rosa, Liliana Noemí
author_facet De Rosa, Liliana Noemí
author_sort De Rosa, Liliana Noemí
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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00393223_v176_n1_p21_DeRosa
http://hdl.handle.net/20.500.12110/paper_00393223_v176_n1_p21_DeRosa
work_keys_str_mv AT derosaliliananoemi someweightednorminequalitiesforaonesidedversionofgl
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