Sharp Weighted Estimates for a Class of $n$-Dimensional Hardy-Steklov Operators

Abstract

In this paper, we study one class of $n$-dimensional Hardy-Steklov operators which has important applications in the technical analysis in equity markets. We establish their weighted boundedness and the corresponding operator norms on both $L^p (\boldsymbol{R}^n)$ and BMO($\boldsymbol{R}^n$).