Weak type (p,p) estimates for Riesz transforms

被引：42

作者：

Blunck, S

Kunstmann, PC

机构：

[1] Univ Cergy Pontoise, Dept Math, F-95302 Cergy Pontoise, France

[2] Univ Karlsruhe, Inst Math 1, D-76128 Karlsruhe, Germany

来源：

MATHEMATISCHE ZEITSCHRIFT | 2004年 / 247卷 / 01期

关键词：

D O I：

10.1007/s00209-003-0627-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the problem of L-p-boundedness of higher order Riesz transforms del(m)L(-1/2) associated to elliptic operators L of order 2m on R-D. As an application of the recently solved Kato conjecture, we show del(m)L(-1/2) is an element ofL(L-p(R-D)) for all p is an element of (2D/2m+Dboolean OR1,2]. This generalizes the result of Auscher and Tchamitchian restricted to the case Dless than or equal to2m.

引用

页码：137 / 148

页数：12

共 15 条

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