Results 81 to 90 of about 2,775,649 (193)

Worm Domains are not Gromov Hyperbolic. [PDF]

open access: yesJ Geom Anal, 2023
Arosio L, Dall'Ara GM, Fiacchi M.
europepmc   +1 more source

Regularity of varieties in strictly pseudoconvex domains

open access: yesPublicacions Matemàtiques, 1988
We prove a theorem on the boundary regularity of a purely p-dimensional complex subvariety of a relatively compact, strictly pseudoconvex domain in a Stein manifold. Some applications describing the structure of the polynomial hull of closed curves in C" are also given.
openaire   +7 more sources

The pluricomplex Poisson kernel for strongly pseudoconvex domains [PDF]

open access: yesAdvances in Mathematics, 2020
Filippo Bracci, A. Saracco, S. Trapani
semanticscholar   +1 more source

On Carathéodory completeness of pseudoconvex Reinhardt domains [PDF]

open access: yesProceedings of the American Mathematical Society, 1999
The paper under review solves the problem of the Carathéodory completeness for a hyperbolic pseudoconvex Reinhardt domain \(D\) (cf. \textit{P. Pflug} [Funct. Anal. Holomorphy and Approximation Theory II, 331-337 (1984; Zbl 0536.32001)] and \textit{S. Fu} [Arch. Math. 63, No. 2, 166-172 (1994; Zbl 0815.32001)] for former weaker results).
openaire   +3 more sources

Hodge spectral sequence on pseudoconvex domains

open access: yesMathematische Zeitschrift, 1988
The authors' main result is Theorem 4.3: Let \((M,ds^ 2_ M)\) be a Kähler manifold of dimension n and let D be a relatively compact pseudoconvex domain in M with \(C^{\infty}\)-smooth boundary. Suppose that the corank of the Levi form of \(\partial D\) is \(
Ohsawa, Takeo, Takegoshi, Kensho
openaire   +3 more sources

An integral kernel for weakly pseudoconvex domains [PDF]

open access: yesMathematische Annalen, 2012
A new explicit construction of Cauchy-Fantappi kernels is introduced for an arbitrary weakly pseudoconvex domain with smooth boundary. While not holomorphic in the parameter, the new kernel reflects the complex geometry and the Levi form of the boundary.
openaire   +3 more sources

Bekoll\'e-Bonami estimates on some pseudoconvex domains. [PDF]

open access: yes, 2020
Zhenghui Huo, Nathan A. Wagner, B. Wick
semanticscholar   +1 more source

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