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

Open Access article
 Printed: Oct 1997
  • Maria Lorente
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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 Weyl fractional integral, weights
MSC Classifications: 26A33, 42B25 show english descriptions Fractional derivatives and integrals
Maximal functions, Littlewood-Paley theory
26A33 - Fractional derivatives and integrals
42B25 - Maximal functions, Littlewood-Paley theory

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