Reverse Hölder Property for Strong Weights and General Measures

We present dimension-free reverse Hölder inequalities for strong Ap∗ weights, 1 ≤ p< ∞. We also provide a proof for the full range of local integrability of A1∗ weights. The common ingredient is a multidimensional version of Riesz’s “rising sun” lemma. Our results are valid for any nonnegative Ra...

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Detalles Bibliográficos
Autores principales:	Luque, T., Pérez, C., Rela, E.
Formato:	JOUR
Materias:	Maximal functions Muckenhoupt weights Multiparameter harmonic analysis Reverse Hölder inequality
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_10506926_v27_n1_p162_Luque
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

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spelling	todo:paper_10506926_v27_n1_p162_Luque2023-10-03T16:00:28Z Reverse Hölder Property for Strong Weights and General Measures Luque, T. Pérez, C. Rela, E. Maximal functions Muckenhoupt weights Multiparameter harmonic analysis Reverse Hölder inequality We present dimension-free reverse Hölder inequalities for strong Ap∗ weights, 1 ≤ p< ∞. We also provide a proof for the full range of local integrability of A1∗ weights. The common ingredient is a multidimensional version of Riesz’s “rising sun” lemma. Our results are valid for any nonnegative Radon measure with no atoms. For p= ∞, we also provide a reverse Hölder inequality for certain product measures. As a corollary we derive mixed Ap∗-A∞∗ weighted estimates. © 2016, Mathematica Josephina, Inc. Fil:Rela, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10506926_v27_n1_p162_Luque
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Maximal functions Muckenhoupt weights Multiparameter harmonic analysis Reverse Hölder inequality
spellingShingle	Maximal functions Muckenhoupt weights Multiparameter harmonic analysis Reverse Hölder inequality Luque, T. Pérez, C. Rela, E. Reverse Hölder Property for Strong Weights and General Measures
topic_facet	Maximal functions Muckenhoupt weights Multiparameter harmonic analysis Reverse Hölder inequality
description	We present dimension-free reverse Hölder inequalities for strong Ap∗ weights, 1 ≤ p< ∞. We also provide a proof for the full range of local integrability of A1∗ weights. The common ingredient is a multidimensional version of Riesz’s “rising sun” lemma. Our results are valid for any nonnegative Radon measure with no atoms. For p= ∞, we also provide a reverse Hölder inequality for certain product measures. As a corollary we derive mixed Ap∗-A∞∗ weighted estimates. © 2016, Mathematica Josephina, Inc.
format	JOUR
author	Luque, T. Pérez, C. Rela, E.
author_facet	Luque, T. Pérez, C. Rela, E.
author_sort	Luque, T.
title	Reverse Hölder Property for Strong Weights and General Measures
title_short	Reverse Hölder Property for Strong Weights and General Measures
title_full	Reverse Hölder Property for Strong Weights and General Measures
title_fullStr	Reverse Hölder Property for Strong Weights and General Measures
title_full_unstemmed	Reverse Hölder Property for Strong Weights and General Measures
title_sort	reverse hölder property for strong weights and general measures
url	http://hdl.handle.net/20.500.12110/paper_10506926_v27_n1_p162_Luque
work_keys_str_mv	AT luquet reverseholderpropertyforstrongweightsandgeneralmeasures AT perezc reverseholderpropertyforstrongweightsandgeneralmeasures AT relae reverseholderpropertyforstrongweightsandgeneralmeasures
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Reverse Hölder Property for Strong Weights and General Measures

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