一类齐次核的Marcinkiewicz积分的端点估计

The Endpoint Estimates for Marcinkiewicz Integral with some Homogeneous Kernels

证明了核函数在满足消失性和L~σ1-(log L)~σ2条件下,齐次核的Marcinkiewicz积分是H^1(R^n)到L^1(R^n)有界的。

Under the cancellation property and L^σ1-（ log L）^σ2 condition on kernels,we obtain the（H^1,L^1） type estimates for Marcinkiewicz integrals with some homogeneous kernels.