Results 31 to 40 of about 2,775,649 (193)
Toeplitz operators and skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains [PDF]
Journal of operator theory, 2019 In this paper we study mapping properties of Toeplitz-like operators on weighted Bergman spaces of bounded strongly pseudconvex domains in $\mathbb{C}^n$.
M. Abate, Samuele Mongodi, Jasmin Raissy
semanticscholar +1 more source
Geometric properties of semitube domains [PDF]
, 2014 In the paper we study the geometry of semitube domains in $\mathbb C^2$. In particular, we extend the result of Burgu\'es and Dwilewicz for semitube domains dropping out the smoothness assumption.
Kosiński, Łukasz +2 more
core +3 more sources
The Kähler–Ricci flow on pseudoconvex domains [PDF]
Mathematical Research Letters, 2018 We establish the existence of K\"ahler-Ricci flow on pseudoconvex domains with general initial metric without curvature bounds. Moreover we prove that this flow is simultaneously complete, and its normalized version converge to the complete K\"ahler ...
Huabin Ge, Aijin Lin, Liangming Shen
semanticscholar +1 more source
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
wiley +1 more source
Comptes Rendus. Mathématique, 2020 On a bounded $q$-pseudoconvex domain $\Omega $ in $\mathbb{C}^{n}$ with Lipschitz boundary $b\Omega $, we prove the $L^2$ existence theorems of the $\overline{\partial }_b$-operator on $b\Omega $.
Saber, Sayed
doaj +1 more source
Weighted Bergman Kernels and Mathematical Physics
Axioms, 2020 We review several results in the theory of weighted Bergman kernels. Weighted Bergman kernels generalize ordinary Bergman kernels of domains Ω ⊂ C n but also appear locally in the attempt to quantize classical states of mechanical systems ...
Elisabetta Barletta +2 more
doaj +1 more source
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.
Shigeru Nakano, Takeo Ohsawa
openaire +3 more sources
Parametrix for the localization of the Bergman metric on strictly pseudoconvex domains [PDF]
, 2017 We give the parameter version of localization theorem for Bergman metric near the boundary points of strictly pseudoconvex domains. The approximation theorem for square integrable holomorphic functions on such domains in the spirit of Graham-Kerzman is ...
Lewandowski, Arkadiusz
core +2 more sources
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
doaj +1 more source
Estimates of invariant metrics on pseudoconvex domains near boundaries with constant Levi ranks [PDF]
, 2012 Estimates of the Bergman kernel and the Bergman and Kobayashi metrics on pseudoconvex domains near boundaries with constant Levi ranks are given.Comment: 12 pages. This is a write-up of Chapter IV of the author's Ph.D.
Fu, Siqi
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