$L^p$ estimates and weighted estimates of fractional maximal rough singular integrals on homogeneous groups

Yanping Chen, Zhijie Fan, Ji Li

In this paper, we study the $L^p$ boundedness and $L^p(w)$ boundedness ($1<p<\infty$ and $w$ a Muckenhoupt $A_p$ weight) of fractional maximal singular integral operators $T_…