Results 21 to 30 of about 934,965 (146)

Analyticity in the boundary of a pseudoconvex domain [PDF]

Proceedings of the American Mathematical Society, 1985
Let D D be a bounded pseudoconvex domain with
openaire   +1 more source

Lipschitz estimates on weakly pseudoconvex domains [PDF]

, 2013
Given an arbitrary pseudoconvex domain D in C^n, in general, one cannot construct an integral kernel using holomorphic support functions. Here we consider an integral kernel, defined for weakly pseudoconvex domains, that while not holomorphic, does ...
Smitas, Daniel
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

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   +2 more sources

Conformal equivalence of visual metrics in pseudoconvex domains [PDF]

, 2020
We refine estimates introduced by Balogh and Bonk, to show that the boundary extensions of isometries between bounded, smooth strongly pseudoconvex domains in Cn are conformal with respect to the sub-Riemannian metric induced by the Levi form.
Le Donne E., Capogna L.
core   +2 more sources

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

$L^2$ 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

Pseudoconvex domains: An example with nontrivial nebenh�lle

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

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

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