Results 21 to 30 of about 897 (167)

Riemannian geometry of Hartogs domains [PDF]

, 2009
This paper contains several results on the Riemannian geometry of the so called Hartogs ...
LOI, ANDREA, ZUDDAS, FABIO, ZUDDAS, F., Loi, A, DI SCALA A. J, Di Scala, Antonio Jose', Zuddas, F   +6 more
core   +1 more source

On some extremal problems in Bergman spaces in weakly pseudoconvex domains [PDF]

, 2018
summary:We consider and solve extremal problems in various bounded weakly pseudoconvex domains in $\mathbb {C}^{n}$ based on recent results on boundedness of Bergman projection with positive Bergman kernel in Bergman spaces $A_{\alpha }^{p}$ in such type
Mihić, Olivera R., Mihić, Olivera, Shamoyan, Romi F.   +2 more
core   +1 more source

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

Bott–Chern cohomology and q-complete domains [PDF]

, 2013
In studying the Bott–Chern and Aeppli cohomologies for q-complete manifolds, we introduce the class of cohomologically Bott–Chern q-complete ...
Daniele Angella, Angella, Daniele, Calamai, Simone, Simone Calamai   +3 more
core   +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, Yu-Ming Chu, Nazia Jahangir, Huma Akhtar, Chahn Yong Jung, Ming-Sheng Liu   +5 more
wiley   +1 more source

Kolodziej's subsolution theorem for unbounded pseudoconvex domains [PDF]

, 2012
In this paper we generalize Kolodziej's subsolution theorem to bounded and unbounded pseudoconvex domains, and in that way we are able to solve complex Monge-Ampère equations on general pseudoconvex domains.
Czyz, Rafal, Czyż, Rafał, Åhag, Per, Åhag, Per,   +3 more
core   +1 more source

$L^2$ estimates and existence theorems for $\protect \overline{\partial }_b$ on Lipschitz boundaries of $Q$-pseudoconvex domains

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, Sorin Dragomir, Francesco Esposito   +2 more
doaj   +1 more source

A smooth pseudoconvex domain without pseudoconvex exhaustion

Manuscripta Mathematica, 1982
A pseudoconvex demain with real —analytic smooth boundary on a complex manifold is constructed which cannot be exhausted by pseudoconvex domains.
Diederich, Klas, Fornaess, John Erik
openaire   +1 more source

Pseudoconvex domains: An example with nontrivial nebenh�lle

Mathematische Annalen, 1977
Klas Diederich, John Erik Fornaess, Fornaess John Erik   +2 more
exaly   +3 more sources