A composition property in the space Hs (II).

被引：8

作者：

Bourdaud, G ^{[1
]}

机构：

[1] Inst Math Jussieu, Projet Anal Fonct, F-75252 Paris 05, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 342卷 / 04期

关键词：

D O I：

10.1016/j.crma.2005.12.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A composition property in the space H-s (II). We prove an almost sharp Superposition Theorem for a wide class of Besov spaces. Indeed any function which belongs locally to B-p(s',infinity) (R), and vanishes at 0, acts by left composition in B-p(s,q) (R-n) boolean AND L-infinity (R-n). The conditions on the parameters are the following: s' > s > 1, s - [s] > 1/p and q epsilon [1, +infinity]. To cite this article: G. Bourdaud, C. R. Acad. Sci. Paris, Ser. I 342 (2006). (c) 2005 Academie des sciences. Publie par Elsevier SAS. Tous droits reserves.

引用

页码：243 / 246

页数：4

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