变量核奇异积分与分数次微分的加权Morrey-Herz空间有界性  

Boundedness of Weighted Morrey-Herz Spaces with Variable Kernel Singular Integrals and Fractional Differentiations

作　　者：陶双平[1] 杨沿奇 

机构地区：[1]西北师范大学数学与统计学院,兰州730070

出　　处：《吉林大学学报（理学版）》2016年第4期677-684,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11561062;11161042)

摘　　要：用单位球面的球调和分解方法,得到一类带变量核的奇异积分算子T与相应的伴随算子T^＊、伪伴随算子T^#及其分数次微分算子D^γ在加权Morrey-Herz空间上的有界性.Using the spherical harmonic decompositions method on the unit sphere, we obtained a class of singular integral operators T with variale kernel and corresponding adjoint operator T^＊ and pseudo-adjoint operator T^# and the boundedness of fractional differentiation operator D^γ on the weighted Morrey-Herz spaces.

关 键 词：变量核 分数次微分 加权MORREY-HERZ空间 

分 类 号：O174.2[理学—数学]