Multi-parameter singular Radon transforms II: the L^p theory

Elias M. Stein, Brian Street

The purpose of this paper is to study the $L^p$ boundedness of operators of the form \[ f\mapsto ψ(x) \int f(γ_t(x))K(t)\: dt, \] where ${\gamma }_t(x)$ is a $C^{\infty }$ function defined on…