Results 91 to 100 of about 897 (167)
, 2020 We give a parameter version of Graham-Kerzman approximation theorem for bounded holomorphic functions on strictly pseudoconvex domains. As an application, we present some uniform estimates for the boundary behaviour of the Kobayashi and Carath\'eodory ...
Lewandowski, Arkadiusz
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A Gehring–Hayman Inequality for Strongly Pseudoconvex Domains
International Mathematics Research NoticesAbstract We prove that if $D$ is a strongly pseudoconvex domain with $\mathcal C^{2, \alpha }$-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.
Kosiński, Łukasz +2 more
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Boundary behavior of the Bergman curvature in strictly pseudoconvex polyhedral domains
, 2019 In this article, we present an explicit description of the boundary behavior of the holomorphic curvature of the Bergman metric of bounded strictly pseudoconvex polyhedral domains with piecewise C-2 smooth boundaries.
Kim, KT, Yu, JY
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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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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 Bergman-Fridman invariant on some classes of pseudoconvex domains [PDF]
We study the boundary behaviour of a variant of the Fridman's invariant function (defined in terms of the Bergman metric) on Levi corank one domains, strongly pseudoconvex domains, smoothly bounded convex domains in $ \mathbb{C}^n $ and polyhedral ...
Kumar, Rahul, Mahajan, Prachi
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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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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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Special Toeplitz operators on strongly pseudoconvex domains
, 2006 Toeplitz operators on strongly pseudoconvex domains in Cn, constructed from the Bergman projection and with symbol equal to a positive power of the distance to the boundary, are considered. The mapping properties of these operators on Lp, as the power of
Cuckovic, Zeljko, McNeal, J. D.
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Estimates for the partial differential-Neumann problem for pseudoconvex domains in C of finite type. [PDF]
Proc Natl Acad Sci U S A, 1988 Chang DC, Nagel A, Stein EM.
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