Treffer: L2-cohomology of annuli and Sobolev estimates for the ∂-bar problem

Title:
L2-cohomology of annuli and Sobolev estimates for the ∂-bar problem
Authors:
Chakrabarti, Debraj
Publisher Information:
Banff International Research Station for Mathematical Innovation and Discovery
Publication Year:
2016
Collection:
University of British Columbia: cIRcle - UBC's Information Repository
Subject Terms:
Mathematics, Several complex variables and analytic spaces, Potential theory, Global analysis
Subject Geographic:
Banff (Alta.)
Document Type:
Video moving image (video)
File Description:
40 minutes; video/mp4
Language:
English
Relation:
16w5080: Complex Analysis and Complex Geometry; BIRS Workshop Lecture Videos (Banff, Alta); BIRS-VIDEO-201605021516-Chakrabarti; BIRS-VIDEO-16w5080-16850; http://hdl.handle.net/2429/59602
Availability:
http://hdl.handle.net/2429/59602
Rights:
Attribution-NonCommercial-NoDerivatives 4.0 International ; http://creativecommons.org/licenses/by-nc-nd/4.0/
Accession Number:
edsbas.2FC8DF6
Database:
BASE

Weitere Informationen

We consider the question of $L^2$-estimates for the $\overline{\partial}$-problem on annuli, a simple but interesting class of non-pseudoconvex domains. We relate this question with $W^1$-Sobolev estimates on the "hole" of the annulus. We then consider special classes of non-smooth holes for which the questions can be answered. This is joint work with Mei-Chi Shaw and Christine Laurent-Thiébaut. ; Non UBC ; Unreviewed ; Author affiliation: Central Michigan University ; Faculty