A berndtsson-Andersson operator solving \bar\partial-equation with W^\alpha-estimates on convex domains of finite type
Complex Variables
2010-02-23 v1
Abstract
In this article, we use a Berndtsson-Andersson operator and the Bergman metric in order to solve the equation on convex domains of finite type for forms satisifying a Carleson condition and get norm estimates of the solution in term of the Carleson norm.
Keywords
Cite
@article{arxiv.1002.3923,
title = {A berndtsson-Andersson operator solving \bar\partial-equation with W^\alpha-estimates on convex domains of finite type},
author = {William Alexandre},
journal= {arXiv preprint arXiv:1002.3923},
year = {2010}
}
Comments
28 pages