L(P)-L(Q) ESTIMATES FOR ORBITAL MEASURES AND RADON TRANSFORMS ON COMPACT LIE-GROUPS AND LIE-ALGEBRAS

被引：10

作者：

RICCI, F

TRAVAGLINI, G

机构：

[1] Diparlimento di Matemaika, Politcauco di Torino, 10129 Torino

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1995年 / 129卷 / 01期

关键词：

D O I：

10.1006/jfan.1995.1045

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let mu be an invariant measure on a regular orbit in a compact Lie group or in a Lie algebra. We prove sharp L(p) - L(q) estimates for the convolution operators defined through mu. We also obtain similar results for the related Radon transform on the Lie algebra. (C) 1995 Academic Press, Inc.

引用

页码：132 / 147

页数：16

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