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Extrapolation and weighted norm inequalities in the variable Lebesgue spaces
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Journal Article
Extrapolation and weighted norm inequalities in the variable Lebesgue spaces
2016
Overview
We extend the theory of Rubio de Francia extrapolation, including off-diagonal, limited range and A∞A_\\infty extrapolation, to the weighted variable Lebesgue spaces Lp(⋅)(w)L^{p(\\cdot )}(w). As a consequence we are able to show that a number of different operators from harmonic analysis are bounded on these spaces. The proofs of our extrapolation results are developed in a way that outlines a general approach to proving extrapolation theorems on other Banach function spaces.
Publisher
American Mathematical Society
Subject
