Displaying similar documents to “Behavior of the Carathéodory metric near strictly convex boundary points.”

Equivalent characterizations of Bloch functions

Zhangjian Hu (1994)

Colloquium Mathematicae

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In this paper we obtain some equivalent characterizations of Bloch functions on general bounded strongly pseudoconvex domains with smooth boundary, which extends the known results in [1, 9, 10].

A microlocal version of Cartan-Grauert's theorem

I. V. Maresin, A. G. Sergeev (1998)

Annales Polonici Mathematici

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Tuboids are tube-like domains which have a totally real edge and look asymptotically near the edge as a local tube over a convex cone. For such domains we state an analogue of Cartan’s theorem on the holomorphic convexity of totally real domains in ℝ n ⊂ ℂ n .

Brouwer Fixed Point Theorem in the General Case

Karol Pąk (2011)

Formalized Mathematics

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In this article we prove the Brouwer fixed point theorem for an arbitrary convex compact subset of εn with a non empty interior. This article is based on [15].

On metric products

Irmina Herburt, Maria Moszyńska (1991)

Colloquium Mathematicae

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On balanced L²-domains of holomorphy

Marek Jarnicki, Peter Pflug (1996)

Annales Polonici Mathematici

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We show that any bounded balanced domain of holomorphy is an L ² h -domain of holomorphy.

On ∂̅-problems on (pseudo)-convex domains

R. Range (1995)

Banach Center Publications

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In this survey we shall tour the area of multidimensional complex analysis which centers around ∂̅-problems (i.e., the Cauchy-Riemann equations) on pseudoconvex domains. Along the way we shall highlight some of the classical milestones as well as more recent landmarks, and we shall discuss some of the major open problems and conjectures. For the sake of simplicity we will only consider domains in ℂ n ; intriguing phenomena occur already in the simple setting of (Euclidean) convex domains....