Solutions to ∂¯-equations on strongly pseudo-convex domains with Lᵖ-estimates
| dc.contributor.author | Abdelkader, Osama | |
| dc.contributor.author | Khidr, Shaban | |
| dc.date.accessioned | 2021-04-23T19:13:07Z | |
| dc.date.available | 2021-04-23T19:13:07Z | |
| dc.date.issued | 2004-05-20 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 9 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13426 | |
| dc.language.iso | en | |
| dc.publisher | Southwest Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2004, San Marcos, Texas: Southwest Texas State University and University of North Texas. | |
| dc.subject | L^p-estimates | |
| dc.title | Solutions to ∂¯-equations on strongly pseudo-convex domains with Lᵖ-estimates | |
| dc.type | Article |