Results 71 to 80 of about 2,775,649 (193)
Boundary behavior of the Kobayashi metric near a point of infinite type [PDF]
, 2013 Under a potential-theoretical hypothesis named $f$-Property with $f$ satisfying $\displaystyle\int_t^\infty \dfrac{da}{a f(a)}
Khanh, Tran Vu
core
Resolvent of the Laplacian on strictly pseudoconvex domains
Acta Mathematica, 1991 The authors present a constructive approach to describe, in a very precise way, regularity properties of the Poisson operator of the Laplacean \(\Delta g\) of a complete Kähler metric given by \(g_ n\) of a smooth strictly pseudoconvex domain \(\mathbb{C}^ n\).
Epstein, C. L. +2 more
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Some remarks on the Kobayashi–Fuks metric on strongly pseudoconvex domains [PDF]
Journal of Mathematical Analysis and Applications, 2021 Diganta Borah, Debaprasanna Kar
semanticscholar +1 more source
A characterization of certain weakly pseudoconvex domains [PDF]
Tohoku Mathematical Journal, 1999 In the context of the problem of giving conditions in order to ensure the possibility to determine the global structure of a bounded domain in \({\mathbb C}^n \) from the local shape of its boundary near a point, the author characterizes certain weakly pseudoconvex domains from the viewpoint of biholomorphic automorphism group.
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The Automorphism Group of a Domain with an Exponentially Flat Boundary Point [PDF]
, 2010 We study the automorphisms group action on a bounded domain in $\CC^n$ having a boundary point that is exponentially flat. Such a domain typically has a compact automorphism group.
Krantz, Steven G.
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Embedding Strictly Pseudoconvex Domains Into Balls [PDF]
Transactions of the American Mathematical Society, 1986 This paper contains a number of interesting results on proper holomorphic mappings from a strictly pseudoconvex domain D to a (higher-dimensional) ball \({\mathbb{B}}^ N\). The first result is that there are domains D with smooth real-analytic boundary such that no proper mapping \(f: D\to {\mathbb{B}}^ n\) extends smoothly to \(\bar D.\) (A similar ...
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Compactness of commutators of Toeplitz operators on q-pseudoconvex domains
Electronic Journal of Differential Equations, 2018 Let $\Omega$ be a bounded q-pseudoconvex domain in $\mathbb{C}^n$, $n \geq 2$ and let $1 \leq q \leq n-1$. If $\Omega$ is smooth, we find sufficient conditions for the $\overline\partial$-Neumann operator to be compact.
Sayed Saber
doaj
On Bergman completeness of non-hyperconvex domains
, 1999 We study the problem of the boundary behaviour of the Bergman kernel and the Bergman completeness in some classes of bounded pseudoconvex domains, which contain also non-hyperconvex domains.
Jarnicki, M., Pflug, P., Zwonek, W.
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Solutions to $ar{partial}$-equations on strongly pseudo-convex domains with $L^p$-estimates
Electronic Journal of Differential Equations, 2004 We construct a solution to the $ar{partial}$-equation on a strongly pseudo-convex domain of a complex manifold. This is done for forms of type $(0,s)$, $sgeq 1 $, with values in a holomorphic vector bundle which is Nakano positive and for complex valued ...
Osama Abdelkader, Shaban Khidr
doaj
The Carath�odory distance in strongly pseudoconvex domains [PDF]
Mathematische Annalen, 1994 Let \(G \Subset \mathbb{C}^ n\) be a strongly pseudoconvex domain and \(P_ 0\), \(Q_ 0 \in \partial G\). It is proved that there is a continuous double peak function \(f\) in \(G\) at \(P_ 0\), \(Q_ 0\), i.e., there exist a domain \(G' \Supset G\), two neighbourhoods \(U_ 1,U_ 2\) of \(P_ 0\) and \(Q_ 0\) respectively such that \(f:B_{U_ 1} \times B_ ...
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