HARDY TYPE ESTIMATES FOR COMMUTATORS OF FRACTIONAL INTEGRALS

被引：0

作者：

Wang, Yueshan ^{[1
]}

He, Yuexiang ^{[1
]}

机构：

[1] Jiaozuo Univ, Dept Math, Jiaozuo 454003, Henan Province, Peoples R China

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2011年 / 41卷 / 01期

关键词：

Fractional integral; commutator; Hardy space; local Hardy space; BMO; LMO; SPACES;

D O I：

10.1216/RMJ-2011-41-1-319

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let I(alpha) be the fractional integral, 0 < alpha < n. In this paper we will consider commutator operators [b, I(alpha)](f)(x) = b(x)I(alpha)(f)(x) - I(alpha)(bf)(x) for b is an element of BMO(R(n)). The boundedness of these operators from local Hardy spaces h(P)(R(n)) to spaces h(p)(R(n)) + L(q)(R(n)) will be obtained.

引用

页码：319 / 335

页数：17

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