# Inequalities for weighted spaces with variable exponents

@inproceedings{Rocha2022InequalitiesFW, title={Inequalities for weighted spaces with variable exponents}, author={Pablo Rocha}, year={2022} }

In this article we obtain an ”oﬀ-diagonal” version of the Feﬀerman-Stein vector-valued maximal inequality on weighted Lebesgue spaces with variable exponents. As an application of this result and the atomic decomposition developed in [12] we prove, for certain exponents q ( · ) in P log ( R n ) and certain weights ω , that the Riesz potential I α , with 0 < α < n , can be extended to a bounded operator from H p ( · ) ω ( R n ) into L q ( · ) ω ( R n ), for 1 p ( · ) := 1 q ( · ) + αn . 42B25,

## One Citation

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