Solutions to ∂¯-equations on strongly pseudo-convex domains with Lᵖ-estimates

Date

2004-05-20

Authors

Abdelkader, Osama
Khidr, Shaban

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We construct a solution to the ∂¯-equation on a strongly pseudo-convex domain of a complex manifold. This is done for forms of type (0, s), for complex valued forms of type (r, s), 1 ≤ r ≤ n, when the complex manifold is a Stein manifold. Using Kerzman's techniques, we find the Lp-estimates, 1 ≤ p ≤ ∞, for the solution.

Description

Keywords

L^p-estimates

Citation

Abdelkader, O., & Khidr, S. (2004). Solutions to ∂¯-equations on strongly pseudo-convex domains with Lᵖ-estimates. <i>Electronic Journal of Differential Equations, 2004</i>(73), pp. 1-9.

Rights

Attribution 4.0 International

Rights Holder

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights License