摘要
本文证明了带可变核的Marcinkiewicz积分算子在变指数的Lebesgue空间L^(p(·))以及带三个变指数的广义Herz空间K_(q(·),p(·))^(α(·))上的有界性.
In this paper, we prove the boundedness of Marciinkiewicz integrals with variable kernel on variable exponents L^(p(·)) spaces and generalized Herz spaces K(q(·),p(·))^(α(·))(R^n) with three variable exponents.
作者
朱月萍
陆燕
ZHU Yueping;LU Yan(Department of Mathematics,Nantong Normal College,Nantong,Jiangsu,226010,P.R.China;School of Xinglin,Nantong University,Nantong,Jiangsu,226007,P.R.China)
出处
《数学进展》
CSCD
北大核心
2018年第5期754-766,共13页
Advances in Mathematics(China)
基金
supported by NSFC(Nos.11371370,11771223)