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.
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页码：137 / 148
页数：12
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