Boundedness of certain oscillatory singular integrals
Volume 114 / 1995
Studia Mathematica 114 (1995), 105-116
DOI: 10.4064/sm-114-2-105-116
Abstract
We prove the $L^p$ and $H^1$ boundedness of oscillatory singular integral operators defined by Tf = p.v.Ω∗f, where $Ω(x) = e^{iΦ(x)}K(x)$, K(x) is a Calderón-Zygmund kernel, and Φ satisfies certain growth conditions.
