Results 31 to 40 of about 5,540 (198)
Construction of labyrinths in pseudoconvex domains [PDF]
Mathematische Zeitschrift, 2019 We build in a given pseudoconvex (Runge) domain D of CN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
S. Charpentier, Łukasz Kosiński
semanticscholar +1 more source
Harmonic Analysis Techniques in Several Complex Variables
Bruno Pini Mathematical Analysis Seminar, 2014 We give a survey of recent joint work with E.M. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem technique to the study of orthogonal projections onto the Hardy and Bergman spaces of holomorphic functions ...
Loredana Lanzani
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Skew Carleson Measures in Strongly Pseudoconvex Domains [PDF]
Complex Analysis and Operator Theory, 2017 Given a bounded strongly pseudoconvex domain D in Cn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength ...
M. Abate, Jasmin Raissy
semanticscholar +1 more source
Estimates of Invariant Metrics on Pseudoconvex Domains of Finite Type in C3
Abstract and Applied Analysis, 2014 Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that z0∈bΩ is a point of finite 1-type in the sense of D’Angelo. Then, there are an admissible curve Γ⊂Ω∪{z0}, connecting points q0∈Ω and z0∈bΩ, and a quantity M(z,X), along z∈Γ, which ...
Sanghyun Cho, Young Hwan You
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Asymptotic expansion of the Bergman kernel for weakly pseudoconvex tube domains in C^2 [PDF]
, 1996 In this paper we give an asymptotic expansion of the Bergman kernel for certain weakly pseudoconvex tube domains of finite type in C^2. Our asymptotic formula asserts that the singularity of the Bergman kernel at weakly pseudoconvex points is essentially
Kamimoto, Joe
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Toeplitz 𝐶*-algebras over pseudoconvex Reinhardt domains [PDF]
Bulletin of the American Mathematical Society, 1989 Let \(\Omega\) be a pseudoconvex complete Reinhardt domain in \({\mathbb{C}}^ 2\) which is contained in the bidisk \(D^ 2\) and contains the coordinate axes \(V=\{(z,v)\in D^ 2:\) \(zw=0\}\). Then the corresponding logarithmic domain \(C=\{(x,y)\in {\mathbb{R}}^ 2:\) \((e^ x,e^ y)\in \Omega \}\) is an unbounded convex open set contained in the third ...
Salinas, Norberto +2 more
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Toeplitz Algebras on Strongly Pseudoconvex Domains [PDF]
Nagoya Mathematical Journal, 2007 AbstractIn the present paper, it is proved that theK0-group of a Toeplitz algebra on any strongly pseudoconvex domain is always isomorphic to theK0-group of the relative continuous function algebra, and is thus isomorphic to the topologicalK0-group of the boundary of the relative domain.
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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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On Carleman and observability estimates for wave equations on time‐dependent domains
Proceedings of the London Mathematical Society, Volume 119, Issue 4, Page 998-1064, October 2019., 2019 Abstract We establish new Carleman estimates for the wave equation, which we then apply to derive novel observability inequalities for a general class of linear wave equations. The main features of these inequalities are that (a) they apply to a fully general class of time‐dependent domains, with timelike moving boundaries, (b) they apply to linear ...
Arick Shao
wiley +1 more source
Levi problem and semistable quotients
, 2012 A complex space $X$ is in class ${\mathcal Q}_G$ if it is a semistable quotient of the complement to an analytic subset of a Stein manifold by a holomorphic action of a reductive complex Lie group $G$.
Cox D +7 more
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