Commutators of fractional integrals on Lebesgue and Herz spaces with variable exponent

被引：47
|
作者：
Izuki M. [1 ]
机构：
[1] Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo, Hokkaido 060-0810, Kita 10 Nishi 8, Kita-ku
来源：
Rendiconti del Circolo Matematico di Palermo | 2010年 / 59卷 / 3期
关键词：
BMO; Commutator; Fractional integral; Herz space with variable exponent;
D O I：
10.1007/s12215-010-0034-y
中图分类号：
学科分类号：
摘要：
Our first aim in this paper is to prove boundedness of commutators with fractional integrals on Lebesgue spaces with variable exponent. We additionally obtain the boundedness on Herz spaces with variable exponent applying some properties of variable exponent and BMO norms. © 2010 Springer-Verlag Italia.
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页码：461 / 472
页数：11
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