Results 31 to 40 of about 4,865 (165)
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.
openaire +2 more sources
ON SOME NEW PROJECTION THEOREMS AND SHARP ESTIMATES IN HERZ TYPE SPACES IN BOUNDED PSEUDOCONVEX DOMAINS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2018 We prove new projection theorems for new Herz type spaces in various domains in Cn in the unit disk, unit ball, bounded pseudoconvex domains and based on these results we provide sharp estimates for distances in such type spaces under one condition on ...
R. F. Shamoyan, A. N. Shipka
doaj
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 ...
openaire +2 more sources
Smoothness to the Boundary of Biholomorphic Mappings
International Journal of Analysis and Applications, 2015 Under a plausible geometric hypothesis, we show that a biholomorphic mappingof smoothly bounded, pseudoconvex domains extends to a diffeomorphism of the closures.
Steven G. Krantz
doaj +2 more sources
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
Spectra of subnormal pairs [PDF]
Opuscula Mathematica, 2007 In this short note we present an example related to joint spectra of subnormal pairs of bounded operators. A counterexample to the equality between Taylor's spectrum and the closure of the defect spectrum is given. This example is related to the author's
Krzysztof Rudol
doaj
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
doaj +1 more source
Dirac–Schrödinger operators, index theory and spectral flow
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract In this article, we study generalised Dirac–Schrödinger operators in arbitrary signatures (with or without gradings), providing a general KK$\textnormal {KK}$‐theoretic framework for the study of index pairings and spectral flow. We provide a general Callias Theorem, which shows that the index (or the spectral flow, or abstractly the K ...
Koen van den Dungen
wiley +1 more source
Necessary and Sufficient Conditions for Set‐Valued Maps with Set Optimization
Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018 Optimality conditions are studied for set‐valued maps with set optimization. Necessary conditions are given in terms of S‐derivative and contingent derivative. Sufficient conditions for the existence of solutions are shown for set‐valued maps under generalized quasiconvexity assumptions.
Abdessamad Oussarhan +2 more
wiley +1 more source
On a higher dimensional worm domain and its geometric properties
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract We construct new three‐dimensional variants of the classical Diederich–Fornæss worm domain. We show that they are smoothly bounded, pseudoconvex, and have nontrivial Nebenhülle. We also show that their Bergman projections do not preserve the Sobolev space for sufficiently large Sobolev indices.
Steven G. Krantz +2 more
wiley +1 more source