Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-26T08:55:44.185Z Has data issue: false hasContentIssue false
  • English
  • Français

L2 estimates for the ∂ operator on Stein manifolds

Published online by Cambridge University Press:  01 July 2000

PATRICK W. DARKO
PATRICK W. DARKO
Affiliation:
Department of Mathematics and Computer Science, Lincoln University, PA 19352, U.S.A.; e-mail: [email protected]
Get access Rights & Permissions [Opens in a new window]

Abstract

L2 estimates of the Kohn–Hörmander type are obtained for the ∂u operator on relatively compact Stein subdomains of complex manifolds. This is done by using a result of Hörmander locally, patching with cohomology of coherent analytic sheaves with bounds to get global solutions of the ∂u equation and then finishing with standard Hilbert space methods to obtain weak elliptic estimates.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 129 , Issue 1 , July 2000 , pp. 73 - 76
Copyright
2000 Cambridge Philosophical Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)