Boundary Regularity for the \bar{\partial}_b-Neumann problem, Part 2
复变函数
2007-05-23 v1 微分几何
摘要
We adapt the results of Part 1 to include the unit ball in the Heisenberg group, the model domain with characteristic boundary points. In particular, we construct function spaces on which the Kohn Laplacian with the \bar{\partial}_b-Neumann boundary conditions is an isomorphism. As an application, we establish sharp regularity for a canonical solution to the inhomogenous \bar{\partial}_b equation on the unit ball.
引用
@article{arxiv.math/0412309,
title = {Boundary Regularity for the \bar{\partial}_b-Neumann problem, Part 2},
author = {Robert K. Hladky},
journal= {arXiv preprint arXiv:math/0412309},
year = {2007}
}
备注
23 pages