Open Access
January 2015 $L^{2}$-estimates on weakly $q$-convex domains
Qingchun Ji, Guo Tan, Guangsheng Yu
Osaka J. Math. 52(1): 1-15 (January 2015).

Abstract

We establish an estimate on weakly $q$-convex domains in $\mathbb{C}^{n}$ which provides a unified approach to various existence results for the $\bar{\partial}$-problem. We also prove a Diederich--Fornaess type result for weakly $q$-convex domains.

Citation

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Qingchun Ji. Guo Tan. Guangsheng Yu. "$L^{2}$-estimates on weakly $q$-convex domains." Osaka J. Math. 52 (1) 1 - 15, January 2015.

Information

Published: January 2015
First available in Project Euclid: 24 March 2015

zbMATH: 1314.32019
MathSciNet: MR3326598

Subjects:
Primary: 32A38 , 32W05

Rights: Copyright © 2015 Osaka University and Osaka City University, Departments of Mathematics

Vol.52 • No. 1 • January 2015
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