关于变指数Morrey型空间中的粗糙核Marcinkiewicz积分算子

摘要

基于变指数和广义BMO范数理论,本文研究了具有粗糙核的Marcinkiewicz积分算子在变指数Morrey型空间中的有界性,本质推广了一些已知结果.%Based on the theory of variable exponent and on generalization of the BMO norms,we study some boundedness results for Marcinkiewicz integrals with rough kernels in variable exponent Morrey and Morrey-Herz spaces,which essentially extend some known results.