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.
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页码：319 / 335
页数：17
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