HERMITE EXPANSIONS ON R(N) FOR RADIAL FUNCTIONS

被引：0

作者：

THANGAVELU, S ^{[1
]}

机构：

[1] INDIAN INST SCI,TATA INST FUNDAMENTAL RES CTR,BANGALORE 560012,KARNATAKA,INDIA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1993年 / 118卷 / 04期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is proved that the Riesz means S(R)(delta)f, delta > 0, for the Hermite expansions on R(n), n greater-than-or-equal-to 2, satisfy the uniform estimates \\S(R)(delta)f\\p less-than-or-equal-to C \\f\\p for all radial functions if and only if p lies in the interval 2n/(n + 1 + 2delta) < p < 2n/(n - 1 - 2delta).

引用

页码：1097 / 1102

页数：6

共 11 条

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