BEST CONSTANTS FOR 2 NONCONVOLUTION INEQUALITIES

被引：136

作者：

CHRIST, M ^{[1
]}

GRAFAKOS, L ^{[1
]}

机构：

[1] WASHINGTON UNIV,DEPT MATH,ST LOUIS,MO 63130

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1995年 / 123卷 / 06期

关键词：

D O I：

10.2307/2160978

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The norm of the operator which averages /f/ in L(p)(R(n)) over balls of radius delta/x/ centered at either 0 or x is obtained as a function of n, p and delta. Both inequalities proved are n-dimensional analogues of a classical inequality of Hardy in R(1). Finally, a lower bound for the operator norm of the Hardy-Littlewood maximal function on L(p)(R(n)) is given.

引用

页码：1687 / 1693

页数：7

共 8 条

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