Results 11 to 20 of about 5,540 (198)
Comparison of invariant metrics and distances on strongly pseudoconvex domains and worm domains [PDF]
Mathematische Zeitschrift, 2018 We prove that for a strongly pseudoconvex domain $D\subset\mathbb C^n$, the infinitesimal Carath\'eodory metric $g_C(z,v)$ and the infinitesimal Kobayashi metric $g_K(z,v)$ coincide if $z$ is sufficiently close to $bD$ and if $v$ is sufficiently close to
Bracci, Filippo +2 more
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A smooth pseudoconvex domain without pseudoconvex exhaustion
Manuscripta Mathematica, 1982 A pseudoconvex demain with real —analytic smooth boundary on a complex manifold is constructed which cannot be exhausted by pseudoconvex domains.
Diederich, Klas, Fornaess, John Erik
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Rigid characterizations of pseudoconvex domains [PDF]
Indiana University Mathematics Journal, 2012 v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are ...
Nikolov, Nikolai, Thomas, Pascal J.
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On Bergman completeness of pseudoconvex Reinhardt domains [PDF]
, 1999 We give a precise description of Bergman complete bounded pseudoconvex Reinhardt domains.Comment: 13 ...
Włodzimierz Zwonek
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A Gehring-Hayman inequality for strongly pseudoconvex domains [PDF]
, 2023 We prove that in a strongly pseudoconvex domain with smooth boundary, then the length of a geodesic for the Kobayashi-Royden infinitesimal metric between two points is bounded by a constant multiple of the Euclidean distance between the points.
Lukasz Kosi'nski, N. Nikolov, P. Thomas
semanticscholar +1 more source
The pluricomplex Poisson kernel for strongly pseudoconvex domains [PDF]
Advances in Mathematics, 2020 In this paper we introduce, via a Phragmen-Lindelof type theorem, a maximal plurisubharmonic function in a strongly pseudoconvex domain. We call such a function the {\sl pluricomplex Poisson kernel} because it shares many properties with the classical ...
Filippo Bracci, A. Saracco, S. Trapani
semanticscholar +1 more source
Sobolev Estimates for the 𝜕 and the 𝜕-Neumann Operator on Pseudoconvex Manifolds
Mathematics, 2023 Let D be a relatively compact domain in an n-dimensional Kähler manifold with a C2 smooth boundary that satisfies some “Hartogs-pseudoconvexity” condition.
H. Adam +3 more
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On new sharp theorems for multifunctional BMOA type spaces in bounded pseudoconvex domains
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020 We provide new equivalent expressions in the unit ball and pseudoconvex domains for multifunctional analytic BMOA type space. We extend in various directions a known theorem of atomic decomposition of BMOA type spaces in the unit ball.
Shamoyan, R.F., Tomashevskaya, E.B.
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Strongly Pseudoconvex Manifolds and Strongly Pseudoconvex Domains
Publications of the Research Institute for Mathematical Sciences, 1984 Let \((X,\psi)\) be a noncompact strongly pseudoconvex manifold. This means that \(\psi\) is a \(C^{\infty}\) exhaustion function on X which is strongly plurisubharmonic outside a compact set. An open relatively compact subset D in X is called an s.p.c.
Nakano, Shigeo, Ohsawa, Takeo
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