A remark on the Cauchy-Riemann operator

Ihyeok Seo

Published 2014-09-05Version 1

In this note we obtain a unique continuation result for the differential inequality $|\overline{\partial}u|\leq|Vu|$, where $\overline{\partial}=(i\partial_y+\partial_x)/2$ denotes the Cauchy-Riemann operator and $V(x,y)$ is a function in $L^2(\mathbb{R}^2)$.