J. Korean Math. Soc. 2007; 44(6): 1417-1428
Printed November 1, 2007
Copyright © The Korean Mathematical Society.
Hong Rae Cho and Jong-Do Park
Pusan National University, Seoul National University
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
2004; 41(1): 175-192
2011; 48(2): 421-430
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