On logarithmic Sobolev inequalities for higher order fractional derivatives

被引：28

作者：

Cotsiolis, A ^{[1
]}

Tavoularis, NK ^{[1
]}

机构：

[1] Univ Patras, Dept Math, GR-26110 Patras, Greece

来源：

COMPTES RENDUS MATHEMATIQUE | 2005年 / 340卷 / 03期

关键词：

D O I：

10.1016/j.crma.2004.11.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

On R, we prove the existence of sharp logarithmic Sobolev inequalities with higher fractional derivatives. Let s be a positive real number. Any function f epsilon H-s(R-n) satisfies [GRAPHICS] with alpha > 0 be any number and where the operators (-Delta)(s/2) in Fourier spaces are defined by (-Delta)sl2f(k) := (2pi\k\)(s)(f) over cap (k). To cite this article: A. Cotsiolis, NX Tavoularis, C R. Acad. Sci. Paris, Ser. 1340 (2005). (C) 2004 Academie des sciences. Published by Elsevier SAS. All rights reserved.

引用

页码：205 / 208

页数：4

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