Singular and fractional integral operators on preduals of Campanato spaces with variable growth condition

被引：16
|
作者：
Nakai Eiichi [1 ]
机构：
[1] Ibaraki Univ, Dept Math, Mito, Ibaraki 3108512, Japan
来源：
SCIENCE CHINA-MATHEMATICS | 2017年 / 60卷 / 11期
基金：
日本学术振兴会;
关键词：
singular integral; fractional integral; Hardy space; Campanato space; variable exponent; space of homogeneous type; HARDY-SPACES; POINTWISE MULTIPLIERS; RIESZ-POTENTIALS; MORREY SPACES; BOUNDEDNESS; LIPSCHITZ;
D O I：
10.1007/s11425-017-9154-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the boundedness of singular and fractional integral operators on generalized Hardy spaces defined on spaces of homogeneous type, which are preduals of Campanato spaces with variable growth condition. To do this we introduce molecules with variable growth condition. Our results are new even for a"e (n) case.
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页码：2219 / 2240
页数：22
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