An estimation for a family of oscillatory integrals

Abstract

Let $K$ be a Calderón–Zygmund kernel and $P$ a real polynomial defined on ${\mathbb R}^n$ with $P(0)=0$. We prove that convolution with $K \mathop {\rm exp}\nolimits (i/P) $ is continuous on $L^2 ({\mathbb R}^n)$ with bounds depending only on $K$, $

Locations

• Studia Mathematica - View - PDF