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)


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.


Convex Domain Pseudoconvex Domain Solution Operator Finiteness Theorem Frechet Space 
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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

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