Results 31 to 40 of about 3,934 (132)
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
On Bergman completeness of pseudoconvex Reinhardt domains [PDF]
, 1999 We give a precise description of Bergman complete bounded pseudoconvex Reinhardt domains.Comment: 13 ...
Zwonek, Wlodzimierz
core +4 more sources
Deformations of strongly pseudoconvex domains [PDF]
Manuscripta Mathematica, 2012 We show that two smoothly bounded, strongly pseudoconvex domains which are diffeomorphic may be smoothly deformed into each other, with all intermediate domains being strongly pseudoconvex. This result relates to Lempert's ideas about Kobayashi extremal discs, and also has intrinsic interest.
openaire +2 more sources
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
A geometric approach to Catlin's boundary systems [PDF]
, 2018 For a point $p$ in a smooth real hypersurface $M\subset\C^n$, where the Levi form has the nontrivial kernel $K^{10}_p$, we introduce an invariant cubic tensor $\tau^3_p \colon \C T_p \times K^{10}_p \times \overline{K^{10}_p} \to \C\otimes (T_p/H_p ...
Zaitsev, Dmitri
core +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
core +1 more source
Holomorphic Approximation on Certain Weakly Pseudoconvex Domains in Cn
Mathematics, 2019 The purpose of this paper is to study the Mergelyan approximation property in L p and C k -scales on certain weakly pseudoconvex domains of finite/infinite type in C n .
Shaban Khidr
doaj +1 more source
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
openaire +4 more sources