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Algebra i Analiz, 2010 Volume 22, Issue 6, Pages 200–213 (Mi aa1219)
This article is cited in 6 papers

Research Papers

Trace Hardy–Sobolev inequalities in cones

A. I. Nazarov

St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia

Abstract: Sharp constants are found for the trace Hardy-Sobolev inequalities in cones. The question as to whether these constants are attained is discussed.

Keywords: trace Sobolev inequality, trace Hardy inequality, sharp constants.

Received: 18.01.2010


 English version: St. Petersburg Mathematical Journal, 2011, 22:6, 997–1006

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