Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Reverse Hölder Property for Strong Weights and General Measures |
Autor: | Luque, T.; Pérez, C.; Rela, E. |
Filiación: | Instituto de Ciencias Matemáticas CSIC-UAM-UC3M-UCM, C/ Nicolás Cabrera, 13-15, Madrid, 28049, Spain Department of Mathematics, University of the Basque Country, Ikerbasque and BCAM, Bilbao, 48080, Spain Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria Pabellón I, Buenos Aires, 1428, Argentina
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Palabras clave: | Maximal functions; Muckenhoupt weights; Multiparameter harmonic analysis; Reverse Hölder inequality |
Año: | 2017
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Volumen: | 27
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Número: | 1
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Página de inicio: | 162
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Página de fin: | 182
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DOI: |
http://dx.doi.org/10.1007/s12220-016-9678-y |
Título revista: | Journal of Geometric Analysis
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Título revista abreviado: | J Geom Anal
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ISSN: | 10506926
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CODEN: | JGANE
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10506926_v27_n1_p162_Luque |
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Citas:
---------- APA ----------
Luque, T., Pérez, C. & Rela, E.
(2017)
. Reverse Hölder Property for Strong Weights and General Measures. Journal of Geometric Analysis, 27(1), 162-182.
http://dx.doi.org/10.1007/s12220-016-9678-y---------- CHICAGO ----------
Luque, T., Pérez, C., Rela, E.
"Reverse Hölder Property for Strong Weights and General Measures"
. Journal of Geometric Analysis 27, no. 1
(2017) : 162-182.
http://dx.doi.org/10.1007/s12220-016-9678-y---------- MLA ----------
Luque, T., Pérez, C., Rela, E.
"Reverse Hölder Property for Strong Weights and General Measures"
. Journal of Geometric Analysis, vol. 27, no. 1, 2017, pp. 162-182.
http://dx.doi.org/10.1007/s12220-016-9678-y---------- VANCOUVER ----------
Luque, T., Pérez, C., Rela, E. Reverse Hölder Property for Strong Weights and General Measures. J Geom Anal. 2017;27(1):162-182.
http://dx.doi.org/10.1007/s12220-016-9678-y