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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Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10506926_v27_n1_p162_Luque http://hdl.handle.net/20.500.12110/paper_10506926_v27_n1_p162_Luque |
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paper:paper_10506926_v27_n1_p162_Luque2023-06-08T16:02:54Z Reverse Hölder Property for Strong Weights and General Measures Rela, Ezequiel 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. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10506926_v27_n1_p162_Luque 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 Rela, Ezequiel 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. |
author |
Rela, Ezequiel |
author_facet |
Rela, Ezequiel |
author_sort |
Rela, Ezequiel |
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 |
publishDate |
2017 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10506926_v27_n1_p162_Luque http://hdl.handle.net/20.500.12110/paper_10506926_v27_n1_p162_Luque |
work_keys_str_mv |
AT relaezequiel reverseholderpropertyforstrongweightsandgeneralmeasures |
_version_ |
1768543432885665792 |