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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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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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.
AbstractList 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. [PUBLICATION 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.
Author Beckner, William
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Cites_doi 10.1016/0022-1236(74)90013-5
10.1016/0001-8708(70)90022-8
10.1016/j.cam.2005.06.020
10.1007/BF02656488
10.1007/BF02649110
10.2307/2161009
10.1006/jfan.2001.3777
10.1215/S0012-7094-37-00363-6
10.1006/jfan.1999.3462
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