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Weighted inequalities and Stein-Weiss potentials

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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Forum Mathematicum de Gruyter

Weighted inequalities and Stein-Weiss potentials

Beckner, William
Forum Mathematicum , Volume 20 (4) – Jul 1, 2008
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Publisher
de Gruyter
Copyright
© Walter de Gruyter
ISSN
0933-7741
eISSN
1435-5337
DOI
10.1515/FORUM.2008.030
Publisher site
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Abstract

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.

Journal

Forum Mathematicum – de Gruyter

Published: Jul 1, 2008

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