Results 11 to 20 of about 582 (171)

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

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
openaire   +4 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
openaire   +3 more sources

Rigid characterizations of pseudoconvex domains [PDF]

Indiana University Mathematics Journal, 2012
v2: Proposition 14 is improved; v3: Example 15 and the proof of Proposition 14 are ...
Nikolov, Nikolai, Thomas, Pascal J.
openaire   +6 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
openaire   +7 more sources

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

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   +2 more sources

$L^2$ 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

On subvarieties of singular quotients of bounded domains

Journal of the London Mathematical Society, Volume 106, Issue 4, Page 3208-3239, December 2022., 2022
Abstract Let X$X$ be a quotient of a bounded domain in Cn$\mathbb {C}^n$. Under suitable assumptions, we prove that every subvariety of X$X$ not included in the branch locus of the quotient map is of log‐general type in some orbifold sense. This generalizes a recent result by Boucksom and Diverio, which treated the case of compact, étale quotients ...
Benoît Cadorel, Simone Diverio, Henri Guenancia   +2 more
wiley   +1 more source