参数型Marcinkiewicz积分在一些含变指数空间的有界性  

Boundedness of Parametric Marcinkiewicz Integral in Certain Spaces Involving Variable Exponents

作　　者：朱诗红[1] ZHU Shi-hong(Department of Mathematics and Computer,Tongling University,Tongling 244061,China)

机构地区：[1]安徽省铜陵学院数学与计算机系,安徽铜陵244061

出　　处：《安徽师范大学学报（自然科学版）》2021年第1期10-16,共7页Journal of Anhui Normal University(Natural Science)

基　　金：安徽省高校自然科学基金(kj2019A073).

摘　　要：首先借助sharp极大函数证明参数型Marcinkiewicz积分在含变指数Lebesgue空间的有界性.其次,我们进一步证明了此算子在含两个可变指数的齐次Herz和Herz-Morrey空间的连续性。Our first purpose is to prove the boundedness of the parametric Marcinkiewicz integral on Lebesgue space with variable exponent by the control method of the sharp function in this paper.Additionally,we also discuss the characters of this operator on Herz and Herz-Morrey spaces with variable exponents.

关 键 词：Sharp极大函数 HERZ-MORREY空间 变指数 参数型MARCINKIEWICZ积分 HERZ空间 

分 类 号：O174.2[理学—基础数学]