变量核Marcinkiewicz积分在变指标Herz-Morrey空间上的加权估计

Weighted Estimates of Marcinkiewicz Integral with Variable Kernel on Variable Exponent Herz-Morrey Spaces

利用函数分层分解和权不等式等工具,借助变指标Lebesgue空间上的加权有界性,证明变量核的Marcinkiewicz积分算子在加权变指标Herz-Morrey空间上的有界性.

By using hierarchical decomposition of function and the weighted inequalities, and by means of the weight boundedness on variable exponent Lebesgue spaces, we proved the boundedness of Marcinkiewicz integral operators with variable kernel on the weighted variable exponent Herz-Morrey spaces.