Results 11 to 20 of about 1,824,075 (171)

Model Pseudoconvex Domains and Bumping [PDF]

International Mathematics Research Notices, 2011
28 pages; typos corrected; Remarks 2.6 & 2.7 added; clearer proof of Prop.
Bharali, Gautam
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Estimates on the Bergman Kernels in a Tangential Direction on Pseudoconvex Domains in C3

Abstract and Applied Analysis, 2018
Let Ω be a smoothly bounded pseudoconvex domain in C3 and assume that TΩreg(z0)
Sanghyun Cho
doaj   +2 more sources

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
Alan V. Noell
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Pseudoconvex domains in the Hopf surface

Journal of the Mathematical Society of Japan, 2015
With the aid of the technique of variation of domains developed in Memoirs of Amer. Math. Soc., Vol. 209, No. 984, 2011, we characterize the pseudoconvex domains with smooth boundary in Hopf surfaces which are not Stein.
Norman Levenberg
exaly   +4 more sources

A Gehring–Hayman Inequality for Strongly Pseudoconvex Domains [PDF]

International Mathematics Research Notices, 2023
Abstract We prove that if $D$ is a strongly pseudoconvex domain with $\mathcal C^{2, \alpha }$-smooth boundary, then the length of a geodesic for the Kobayashi–Royden infinitesimal metric between two points is bounded by a constant multiple of the Euclidean distance between the points.
Kosiński, Łukasz, Nikolov, Nikolai, Thomas, Pascal, J   +2 more
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On some new estimates for integrals of the square function and analytic Bergman type classes in some domains in  Cn

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2020
The purpose of the note is to obtain equivalent quasinorm, sharp estimates for the quasinorm of Hardy’s and new Bergman’s analytic classes of in the polydisk.
Shamoyan, R.F., Tomashevskaya, E.B.
doaj   +1 more source

Integral operators, embedding theorems, Taylor coefficients, isometries, boundary behaviour of Area-Nevanlinna type spaces in higher dimension and related problems

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2021
This paper contains an overview of recent results of Area-Nevanlinna classes in higher dimension. We here consider various aspects of this new interesting research area of analytic function theory in higher dimension (integral operations, embedding ...
Shamoyan, R.F.
doaj   +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

Uniformization of strictly pseudoconvex domains. II [PDF]

Izvestiya: Mathematics, 2005
It is shown that two strictly pseudoconvex Stein domains with real analytic boundaries have biholomorphic universal coverings provided that their boundaries are locally biholomorphically equivalent. This statement can be regarded as a higher dimensional analogue of the Riemann uniformization theorem.
Nemirovski, Stefan, Shafikov, Rasul
openaire   +2 more sources

Morse index of free boundary disk for pseudoconvex domain [PDF]

, 2023
In this paper we study the Morse index for the $\overline{\partial}$-energy of a non-holomorphic disk in a strictly pseudoconvex domain in $\mathbb{C}^n$ or in a K\"ahler manifold with non-negative bisectional curvature. We give a proof that a $\overline{
Chau, Chi Fai
core   +1 more source