A generalized weighted Hardy-Cesàro operator, and its commutator on weighted $L^p$ and BMO spaces

Nguyen Minh Chuong, Ha Duy Hung

In this paper, we introduce a new weighted Hardy-Cesàro operator defined by $U_{\psi ,s}f(x)=\underset{0}{\overset{1}{\int }}f(s(t)\cdot x)\psi (t)dt$, which is associated to the parameter curve $s(t,x)=…