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A Characterization of two Weight Norm Inequalities for One-Sided Operators of Fractional Type

Published online by Cambridge University Press:  20 November 2018

Maria Lorente
Maria Lorente*
Affiliation:
Análisis Matemático, Facultad de Ciencias, Universidad de Málaga, 29071 Málaga, Spain
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Abstract

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In this paper we give a characterization of the pairs of weights (ω, v) such that T maps Lp(v) into Lq(ω),where T is a general one-sided operator that includes as a particular case theWeyl fractional integral. As an applicationwe solve the following problem: given a weight v, when is there a nontrivial weight ω such that T maps Lp(v) into Lq(ω)?

Keywords

26A3342B25Weyl fractional integralweights
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 5 , 01 October 1997 , pp. 1010 - 1033
Copyright
Copyright © Canadian Mathematical Society 1997

References

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