Results 91 to 100 of about 579 (168)
Some Aspects of the Kobayashi and Carath,odory Metrics on Pseudoconvex Domains
, 2012 The purpose of this article is to consider two themes, both of which emanate from and involve the Kobayashi and the Carath,odory metric. First, we study the biholomorphic invariant introduced by B.
Mahajan, Prachi, Verma, Kaushal
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Uniform Estimate of Solutions with Weight Factors for -Equations over a Strictly Pseudoconvex Domain [PDF]
, 2007 文[1]得到Cn空间中具有逐块C(1)光滑边界的强拟凸域上(0,q)形式的带权因子的Leray-Norguet公式的拓广式及-方程带权因子的连续解。在此基础上,利用文[2]的方法,得到了具有逐块光滑边界的强拟凸域上的-方程带权因子解的一致估计。In [1],an extensional formula of Leray-Norguet with weight factors of differential forms and weighted continuous solutions of the ...
姜永, 阮世华
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The Kobayashi indicatrix at the center of a circular domain
, 1983 The indicatrix of the Kobayashi infinitesimal metric at the center of a pseudoconvex complete circular domain coincides with this domain. It follows that a nonconvex complete circular domain cannot be biholomorphic to any convex domain.
Theodore J. Barth
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Superlogarithmic Estimates on Pseudoconvex Domains and CR Manifolds
The Annals of Mathematics, 2002 This paper is concerned with proving superlogarithmic estimates for the operator $\Box_b$ on pseudoconvex CR manifolds and using them to establish hypoellipticity of $\Box_b$ and of the $\bar{\partial}$-Neumann problem. These estimates are established under the assumption that subellipticity degenerates in certain specified ways.
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The Carath�odory distance in strongly pseudoconvex domains
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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Ideals of holomorphic functions with 𝐶^{∞} boundary values on a pseudoconvex domain
, 1987 We give natural sufficient conditions for the solution of several problems concerning division in the space A ∞ ( Ω ) {\mathcal {A}^\infty }(\
Edward Bierstone, Pierre D. Milman
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The Borel map in locally integrable structures. [PDF]
Math Ann, 2020 Della Sala G, Cordaro PD, Lamel B.
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, 2021 Let D a bounded strictly pseudoconvex non-smooth domain in C'. In this paper we prove that the estimates in Lp and Lipschitz classes for the solutions of the ∂-equation with Lp-data in regular strictly pseudoconvex domains (see[2]) are also valid for D .
Burgués, J. M.
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Cohomologically complete and pseudoconvex domains
Commentarii Mathematici Helvetici, 1980 Eastwood, Michael G., Vigna Suria, G.
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Boundary jets of holomorphic maps between strongly pseudoconvex domains
, 2008 In this paper we consider jets taken at a fixed boundary point of germs of holomorphic diffeomorphisms which send one strongly pseudoconvex domain into another.
Zaitsev, Dmitri, Bracci, Filippo
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