Weighted inequalities and Stein-Weiss potentials

Sharp extensions of Pitt's inequality and bounds for Stein-Weiss fractional integrals are obtained that incorporate gradient forms and vector-valued operators. Such results include Hardy-Rellich inequalities. 2000 Mathematics Subject Classification: 58J70, 42B10, 35A15.

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Bibliographic Details
Published inForum mathematicum Vol. 20; no. 4; pp. 587 - 606
Main Author Beckner, William
Format Journal Article
LanguageEnglish
Published Berlin Walter de Gruyter 01.07.2008
Walter de Gruyter GmbH
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Summary:Sharp extensions of Pitt's inequality and bounds for Stein-Weiss fractional integrals are obtained that incorporate gradient forms and vector-valued operators. Such results include Hardy-Rellich inequalities. 2000 Mathematics Subject Classification: 58J70, 42B10, 35A15.
Bibliography:Communicated by Christopher D. Sogge
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forum.2008.030.pdf
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ArticleID:form.20.4.587
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content type line 14
ISSN:0933-7741
1435-5337
DOI:10.1515/FORUM.2008.030