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A characterization of two weight norm inequalities for one-sided operators of fractional type |
Canad. J. Math. 49(1997), 1010-1033
Published:1997-10-01
Printed: Oct 1997
Printed: Oct 1997
- Maria Lorente
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 |