Results 41 to 50 of about 934,965 (146)

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

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

A characterization of certain weakly pseudoconvex domains [PDF]

, 1999
By making use of well-known extension theorems on holomorphic mappings and CR-mappings and applying Webster's CR-invariant metrics, we give a characterization of certain weakly pseudoconvex domains from the viewpoint of biholomorphic automorphism groups ...
20111320, 12597, 児玉, 秋雄, Kodama, Akio   +3 more
core   +1 more source

On uniqueness of solutions to complex Monge–Ampère mean field equations

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 3163-3180, October 2025.
Abstract We establish the uniqueness of solutions to complex Monge–Ampère mean field equations when (minus) the temperature parameter is small. In the local setting of bounded hyperconvex domains, our result partially confirms a conjecture by Berman and Berndtsson. Our approach also extends to the global context of compact complex manifolds.
Chinh H. Lu, Trong‐Thuc Phung
wiley   +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, Ikram Daidai, Patricia J. Y. Wong   +2 more
wiley   +1 more source

Sub-Riemannian structures of strictly pseudoconvex quaternionic domains

, 2022
In this thesis, one may find a generalization to the quaternionic case of the fact that strictly pseudoconvex domains in the complex n-dimensional space, with n greater than 1, admits a structure of a sub-Riemannian manifold induced by the tangent ...
PILASTRO, ALESSANDRO
core  

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, Marco M. Peloso, Caterina Stoppato   +2 more
wiley   +1 more source

ON TRACES OF ANALYTIC HERZ AND BLOCH TYPE SPACES IN BOUNDED STRONGLY PSEUDOCONVEX DOMAINS IN C^N

Проблемы анализа, 2014
In our paper we provide some direct extentions of our recent sharp results on traces in the analytic function spaces, which we proved earlier in case of the unit ball in C^n, to the case of the bounded strongly pseudoconvex domains with a smooth boundary.
R. F. Shamoyan, S. M. Kurilenko
doaj