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# A characterization of two weight norm inequalities for one-sided operators of fractional type

Published:1997-10-01
Printed: Oct 1997
• Maria Lorente
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## Abstract

In this paper we give a characterization of the pairs of weights $(\w,v)$ such that $T$ maps $L^p(v)$ into $L^q(\w)$, where $T$ is a general one-sided operator that includes as a particular case the Weyl fractional integral. As an application we solve the following problem: given a weight $v$, when is there a nontrivial weight $\w$ such that $T$ maps $L^p(v)$ into $L^q(\w )$?
 Keywords: Weyl fractional integral, weights
 MSC Classifications: 26A33 - Fractional derivatives and integrals 42B25 - Maximal functions, Littlewood-Paley theory

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