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Reverse Hölder property for strong weights and general measures

 

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Opened Access Reverse Hölder property for strong weights and general measures
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Author: Luque Martínez, Teresa
Pérez Moreno, Carlos
Rela, Ezequiel
Department: Universidad de Sevilla. Departamento de Análisis Matemático
Date: 2016-02-22
Published in: Journal of Geometric Analysis, 1-21.
Document type: Article
Abstract: We present dimension-free reverse H¨older inequalities for strong A∗p weights, 1 ≤ p < ∞. We also provide a proof for the full range of local integrability of A∗1 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 H¨older inequality for certain product measures. As a corollary we derive mixed A∗p − A∗∞ weighted estimates.
Cite: Luque Martínez, T., Pérez Moreno, C. y Rela, E. (2016). Reverse Hölder property for strong weights and general measures. Journal of Geometric Analysis, 1-21.
Size: 231.9Kb
Format: PDF

URI: http://hdl.handle.net/11441/47240

DOI: 10.1007/s12220-016-9678-y

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