Asymmetry of convolution norms on Lie groups

被引：7

作者：

Dooley, AH ^{[1
]}

Gupta, SK

Ricci, F

机构：

[1] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

[2] Univ S Pacific, Dept Math, Suva, Fiji

[3] Politecn Torino, Dipartimento Matemat, I-10129 Turin, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2000年 / 174卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

D O I：

10.1006/jfan.2000.3573

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that on most connected non-commutative Lie groups there exists a convolution operator which is bounded on L(P) but unbounded on L(q) for every q not belonging to the interval with endpoints 2 and p. Furthermore, the kernel of such an operator can be supported on an arbitrary neighbourhood of the identity. (C) 2000 Academic Press.

引用

页码：399 / 416

页数：18

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