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∂-Problems on Strongly Pseudoconvex Domains

∂-Problems on Strongly Pseudoconvex Domains
application/pdf 論文(Article)
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Conformal Equivalence of Visual Metrics in Pseudoconvex Domains

We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometries between smooth strongly pseudoconvex domains in $\C^n$ are conformal with respect to the sub-Riemannian metric induced by the Levi form.
Capogna, Luca, Le Donne, Enrico
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An Application of Einstein Kahler Metrics to Proper Holomorphic Mappings between Pseudoconvex Domains

, 1998
This paper applies the Cheng-Yau Einstein Kahler metric to prove a partial result on a conjecture concerning the compactness of the family of proper holomorphic mappings between strongly pseudoconvex ...
This Cheng-yau, Bun Wong, Einstein Kahler +2 more
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Holder Type Estimates for the partial derivative-Equation in Strongly Pseudoconvex Domains

, 2008
In this paper we generalize the Holder space with a majorant function, define its order, and prove the existence and regularity for the solutions of the Cauchy-Riemann equation in the generalized Holder space over a bounded strongly pseudoconvex domain.
Cho, HR, Park, JD, null, Ahn, H
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Extending Bounded Holomorphic Functions from Certain Subvarieties of a Strongly Pseudoconvex Domain

, 1976
Kenzō Adachi
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Fredholm Toeplitz operators on strongly pseudoconvex domains [PDF]