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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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Projected Composition Operators on Pseudoconvex Domains [PDF]
Integral Equations and Operator Theory, 2021 Let $ \subset \mathbb{C}^n$ be a smooth bounded pseudoconvex domain and $A^2 ( )$ denote its Bergman space. Let $P:L^2( )\longrightarrow A^2( )$ be the Bergman projection. For a measurable $ : \longrightarrow $, the projected composition operator is defined by $(K_ f)(z) = P(f \circ )(z), z \in , f\in A^2 ( ).$ In 1994, Rochberg studied ...
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On Hardy spaces on worm domains
Concrete Operators, 2016 In this review article we present the problem of studying Hardy spaces and the related Szeg˝o projection on worm domains. We review the importance of the Diederich–Fornæss worm domain as a smooth bounded pseudoconvex domain whose Bergman projection does ...
Monguzzi Alessandro
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On Generalized Strongly p‐Convex Functions of Higher Order
Journal of Mathematics, Volume 2020, Issue 1, 2020., 2020 The aim of this paper is to introduce the definition of a generalized strongly p‐convex function for higher order. We will develop some basic results related to generalized strongly p‐convex function of higher order. Moreover, we will develop Hermite–Hadamard‐, Fejér‐, and Schur‐type inequalities for this generalization.
Muhammad Shoaib Saleem +5 more
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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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Strongly pseudoconvex handlebodies
, 2003 We give an explicit construction of special strongly pseudoconvex domains in C^n of handlebody type, i.e., domains which are small tubes surrounding the union of a quadratic strongly pseudoconvex domain with an attached totally real handle.
Forstneric, Franc, Kozak, Jernej
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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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Embeddability of some strongly pseudoconvex CR manifolds
, 2004 We obtain an embedding theorem for compact strongly pseudoconvex CR manifolds which are bounadries of some complete Hermitian manifolds. We use this to compactify some negatively curved Kaehler manifolds with compact strongly pseudoconvex boundary.
Marinescu, G., Yeganefar, N.
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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
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