带变量核的Marcinkiewicz积分在齐次Morrey-Herz空间上的有界性

Boundedness of Marcinkiewicz integrals with variable kernel on the homogeneous Morrey-Herz spaces

证明了带变量核的Marcinkiewicz积分算子在齐次Morrey-Herz空间M K_(p,q)^(α,λ)(R^n)上的有界性,同时还得到了WMK_(p,1)^(α,λ)(R^n)空间上的估计.

The boundedness results on the homogeneous Morrey-Herz spaces MK_（p,q）^（α,λ）（R^n） were established for the Marcinkiewicz integral operator with a variable kernel.A corresponding estimate of WMK_（p,q）^（α,λ）（R^n） spaces was also obtained.