加权变指数Herz乘积空间上的多线性奇异积分算子  

Multilinear Singular Integral Operators on Product of Weighted Herz Spaces with Variable Exponent

作　　者：袁玲玲 赵凯 

机构地区：[1]青岛大学数学与统计学院,山东青岛266071

出　　处：《吉林大学学报（理学版）》2017年第6期1430-1436,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11471176);山东省自然科学基金(批准号:BS2014SF002)

摘　　要：根据加权变指数Lebesgue空间和Herz空间的定义和性质,利用变指标特征,应用H9lder不等式等估计,证明多线性Calderón-Zygmund算子在加权变指数Lebesgue乘积空间上的有界性,进而证明该算子在加权变指数Herz乘积空间上有界.According to the definitions and properties of the weighted Lebesgue spaces and Herz spaces with variable exponent,using the property of variable index,and by the estimates of the Hlder inequalities,we proved the boundedness of the multilinear Calderón-Zygmund operators on the product of weighted Lebesgue spaces with variable exponent,and then proved the operators were bounded on the product of weighted Herz spaces with variable exponent.

关 键 词：多线性算子 变指数 HERZ空间 奇异积分算子 Muckenhoupt权 

分 类 号：O174.2[理学—数学]