Fractional Integrals on Weighted H p Spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1985Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 289, page 575 (issn: 0002-9947,

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Authors: Gatto, Angel E.; Gutiérrez, Cristian E.; Wheeden, Richard L.;

doi: 10.2307/2000253

Fractional Integrals on Weighted H p Spaces

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Abstract

The authors characterize those pairs of weights (u,v) on \({\mathbb{R}}^ n\) such that \(\| I_{\alpha}f\|_{H^ q_ u}\subseteq C\| f\|_{H^ p_ v}\), \(0

Keywords

Applications, weights, weighted Sobolev spaces, \(H^p\)-spaces, Potentials and capacities, extremal length and related notions in higher dimensions

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