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 Hlder 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.
出处
《吉林大学学报（理学版）》
CAS
CSCD
北大核心
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)
