Results 171 to 180 of about 5,540 (198)

H p -Functions on Strictly Pseudoconvex Domains

American Journal of Mathematics, 1976
Introduction. In this paper we study some questions concerning HP-functions on strictly pseudoconvex domains in CN. For the most part, the results we obtain are analogues of well known theorems in one variable. The first section is devoted to a few preliminaries about the Hardy classes on domains in CN.
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Schwarz lemma at the boundary of strongly pseudoconvex domain in $${\mathbb {C}}^n$$Cn

, 2016
Tai-Shun Liu, Xiaomin Tang
semanticscholar   +1 more source

Invariant metrics on pseudoconvex domains

1984
Let Ω be a bounded domain in ℂn. Each of the metrics of Bergman, Caratheodory, and Kobayashi assigns a positive number to a given non-zero tangent vector X above a point z in Ω. This assignment is invariant in the sense that if f is a biholomorphism of Ω onto another bounded domain Ω′, then the metric applied to X equals the value of the metric on Ω ...
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Compactness estimate for the -Neumann problem on a Q-pseudoconvex domain

, 2012
Tran Vu Khanh, G. Zampieri
semanticscholar   +1 more source

Pseudoconvex Domains and Oka’s Theorem

2016
In this chapter we deal with pseudoconvex domains. In Chap. 4 we saw that the Oka–Cartan Fundamental Theorem holds on holomorphically convex domains, and in Chap. 5 that a holomorphically convex domain is equivalent to a domain of holomorphy. These domains are shown to be pseudoconvex (Cartan–Thullen). The converse (Levi’s problem) was proved by K. Oka
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Subelliptic estimates and regularity of at the boundary of a Q-pseudoconvex domain of finite type

, 2011
Heung-ju Ahn, L. Baracco, G. Zampieri
semanticscholar   +1 more source

Nontangential Weighted Limit of the Infinitesimal Carathéodory Metric in an h-Extendible Boundary Point of a Smooth Bounded Pseudoconvex Domain in Cn

, 1999
N. Nikolov
semanticscholar   +1 more source

q-pseudoconvex and q-complete domains

1984
Main result: If D is a domain with \(C^ 2\) boundary in a Stein manifold M and D has q-pseudoconvex boundary, then D is q-complete. The proof uses a reduction (by embedding and tubular neighbourhood) to the case \(M={\mathbb{C}}^ N\).
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A topological property of the boundary of an analytic subset of a strictly pseudoconvex domain in C2

, 1991
O. Eroshkin
semanticscholar   +1 more source

Zero‐Sets of Continuous Holomorphic Functions on the Boundary of a Strongly Pseudoconvex Domain

, 1978
Barnet M. Weinstock
semanticscholar   +1 more source