Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2007; 44(6): 1417-1428

Printed November 1, 2007

Copyright © The Korean Mathematical Society.

Weighted $L^p$ estimates for $\bar{\partial}$ on a convex domain with piecewise smooth boundary in $\mathbb C^2$

Hong Rae Cho and Jong-Do Park

Pusan National University, Seoul National University

Abstract

We obtain weighted $L^p$ estimates $(1\leq p<\infty)$ for $\bar{\partial}$ on convex domains with piecewise smooth boundaries in $\mathbb{C}^2$ by using explicit formulas of solutions introduced by Berndtsson and Andersson.

Keywords: weighted $L^p$ estimates for $\bar{\partial}$, convex domain, piecewise smooth boundary, totally convex

MSC numbers: 32W05, 32A26

Stats or Metrics

Share this article on :