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- W2898800934 abstract "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 $A_pp$ 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 cite{dcu-f-nPreprint2010} in the variable Lebesgue spaces and the bilinear results of Lerner {em et al.} cite{MR2483720} in the classical Lebesgue spaces. As an application we prove weighted norm inequalities for bilinear singular integral operators in the variable Lebesgue spaces." @default.
- W2898800934 created "2018-11-09" @default.
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- W2898800934 date "2018-11-01" @default.
- W2898800934 modified "2023-09-27" @default.
- W2898800934 title "Weighted norm inequalities for the bilinear maximal operator on variable Lebesgue spaces" @default.
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