Boundedness of Riesz potentials in nonhomogeneous spaces

被引：0

作者：

Hu Guoen ^{[1
]}

Meng Yan ^{[2
]}

Yang Dachun

机构：

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

[2] Renmin Univ China, Sch Informat, Beijing 100872, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2008年 / 28卷 / 02期

关键词：

Riesz potential; Lebesgue space; Hardy space; RBMO space; boundedness; non-doubling measure;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a class of linear operators including Riesz potentials on R(d) with a non-negative Radon measure mu, which only satisfies some growth condition, the authors prove that their boundedness in Lebesgue spaces is equivalent to their boundedness in the Hardy space or certain weak type endpoint estimates, respectively. As an application, the authors obtain several new end estimates.

引用

页码：371 / 382

页数：12

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