Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 295, Issue 1, Pages 225-236Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2004.03.034
Keywords
Sobolev spaces; Sobolev inequalities; best constants
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We obtain sharp constants for Sobolev inequalities for higher order fractional derivatives. As an application, we give a new proof of a theorem of W. Beckner concerning conformally invariant higher-order differential operators on the sphere. (C) 2004 Elsevier Inc. All rights reserved.
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