Advertisement

The Levi Problem and the Solution of ∂̅ on Strictly Pseudoconvex Domains

  • R. Michael Range
Part of the Graduate Texts in Mathematics book series (GTM, volume 108)

Abstract

In the preceding chapter we developed a general integral representation formula for differential forms, and we saw, in the case of convex domains, some of its major applications whenever there is a generating form which is globally holomorphic in the parameter z. In this chapter we apply these techniques to a strictly pseudoconvex domain D. Here the geometric information is only local, and there is no simple way to find a globally holomorphic generating form.

Keywords

Convex Domain Pseudoconvex Domain Solution Operator Finiteness Theorem Frechet Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 1986

Authors and Affiliations

  • R. Michael Range
    • 1
  1. 1.Department of Mathematics and StatisticsState University of New York at AlbanyAlbanyUSA

Personalised recommendations