Best constants for Sobolev inequalities for higher order fractional derivatives |
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| Authors: | Athanase Cotsiolis |
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| Affiliation: | Department of Mathematics, University of Patras, Patras 26110, Greece |
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| Abstract: | 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. |
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| Keywords: | Sobolev spaces Sobolev inequalities Best constants |
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