Fractional Integrals on Product Manifolds

被引：3

作者：

Ding, Yong ^{[1
]}

Wu, Xinfeng ^{[1
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst BNU, Minist Educ, Beijing 100875, Peoples R China

来源：

POTENTIAL ANALYSIS | 2009年 / 30卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Multi-parameter fractional integral; Mixed norm spaces; Product manifolds; Homogeneous group; Discrete fractional integrals; OPERATORS; SPACES; NORM;

D O I：

10.1007/s11118-009-9120-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the authors give a mixed norm estimate for the multi-parameter fractional integrals on product measurable spaces. This estimate is applied to obtain the boundedness for the fractional integrals of Nagel-Stein type on product manifolds, the fractional integral of Folland-Stein type with rough convolution kernels on product homogeneous groups, and the discrete fractional integrals of Stein-Wainger type.

引用

页码：371 / 383

页数：13

共 17 条

[1]

[Anonymous], ARXIV08011701

[2] SPACES LP, WITH MIXED NORM [J].