Title:
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Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces
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Author:
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Cruz-Uribe, David; Guzmán, O. M.
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Abstract:
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The first author is supported by research funds from the Dean of the College of Arts & Sciences, the University of Alabama. |
Abstract:
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We extend the theory of weighted norm inequalities on variable Lebesgue spaces to the case of bilinear operators. We introduce a bilinear version of the variable Ap(·) condition and show that it is necessary and sufficient for the bilinear maximal operator to satisfy a weighted norm inequality. Our work generalizes the linear results of the first author, Fiorenza, and Neugebauer [7] in the variable Lebesgue spaces and the bilinear results of Lerner et al. [22] in the classical Lebesgue spaces. As an application we prove weighted norm inequalities for bilinear singular integral operators in the variable Lebesgue spaces. |
Rights:
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open access
Tots els drets reservats.
https://rightsstatements.org/vocab/InC/1.0/ |
Document type:
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Article |
Published by:
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Share:
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Uri:
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https://ddd.uab.cat/record/225699
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