Results 41 to 50 of about 1,815 (105)

A Gehring–Hayman Inequality for Strongly Pseudoconvex Domains

International Mathematics Research Notices
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   +6 more sources

CR$CR$ analysis via local uniform completion, a sharp maximum modulus principle and holomorphic extension

Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.
Abstract Using iterated uniform local completion, we introduce a notion of continuous CR$CR$ functions on locally closed subsets of reduced complex spaces, generalising both holomorphic functions and CR$CR$ functions on CR$CR$ submanifolds. Under additional assumptions of set‐theoretical weak pseudo‐concavity, we prove optimal maximum modulus ...
Mauro Nacinovich, Egmont Porten
wiley   +1 more source

On Extremal Problems in Certain New Bergman Type Spaces in Some Bounded Domains in Cn

Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014
Based on recent results on boundedness of Bergman projection with positive Bergman kernel in analytic spaces in various types of domains in Cn, we extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new Bergman type spaces in Lie ball, bounded symmetric domains of tube type, Siegel domains, and ...
Romi F. Shamoyan, Olivera Mihić, Kehe Zhu   +2 more
wiley   +1 more source

The Carath�odory distance in strongly pseudoconvex domains

Mathematische Annalen, 1994
Let \(G \Subset \mathbb{C}^ n\) be a strongly pseudoconvex domain and \(P_ 0\), \(Q_ 0 \in \partial G\). It is proved that there is a continuous double peak function \(f\) in \(G\) at \(P_ 0\), \(Q_ 0\), i.e., there exist a domain \(G' \Supset G\), two neighbourhoods \(U_ 1,U_ 2\) of \(P_ 0\) and \(Q_ 0\) respectively such that \(f:B_{U_ 1} \times B_ ...
openaire   +1 more source

Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains

Documenta Mathematica, 2022
Let \pi:\mathbb{C}^n\times\mathbb{C}\rightarrow \mathbb{C} be the projection map onto the second factor and let D be a domain in
Choi, Young-Jun, Yoo, Sungmin
openaire   +3 more sources

An exotic calculus of Berezin–Toeplitz operators

Mathematika, Volume 71, Issue 2, April 2025.
Abstract We develop a calculus of Berezin–Toeplitz operators quantizing exotic classes of smooth functions on compact Kähler manifolds and acting on holomorphic sections of powers of positive line bundles. These functions (classical observables) are exotic in the sense that their derivatives are allowed to grow in ways controlled by local geometry and ...
Izak Oltman
wiley   +1 more source

On the Regularity of Weak Contact p‐Harmonic Maps

Journal of Complex Analysis, Volume 2013, Issue 1, 2013., 2013
We prove Caccioppoli type estimates and consequently establish local Hölder continuity for a class of weak contact (2n + 2)‐harmonic maps from the Heisenberg group ℍn into the sphere S2m−1.
Sorin Dragomir, Robert Petit, Arcadii Grinshpan   +2 more
wiley   +1 more source

New estimates of Rychkov's universal extension operator for Lipschitz domains and some applications

Mathematische Nachrichten, Volume 297, Issue 4, Page 1407-1443, April 2024.
Abstract Given a bounded Lipschitz domain Ω⊂Rn$\Omega \subset \mathbb {R}^n$, Rychkov showed that there is a linear extension operator E$\mathcal {E}$ for Ω$\Omega$, which is bounded in Besov and Triebel‐Lizorkin spaces. In this paper, we introduce some new estimates for the extension operator E$\mathcal {E}$ and give some applications.
Ziming Shi, Liding Yao
wiley   +1 more source

ON TRACES OF ANALYTIC HERZ AND BLOCH TYPE SPACES IN BOUNDED STRONGLY PSEUDOCONVEX DOMAINS IN C^N

Проблемы анализа, 2014
In our paper we provide some direct extentions of our recent sharp results on traces in the analytic function spaces, which we proved earlier in case of the unit ball in C^n, to the case of the bounded strongly pseudoconvex domains with a smooth boundary.
R. F. Shamoyan, S. M. Kurilenko
doaj  

Interpolating sequences for weighted Bergman spaces on strongly pseudoconvex bounded domains [PDF]

International Journal of Mathematics, 2021
Let [Formula: see text], [Formula: see text], and [Formula: see text] be a strongly pseudoconvex bounded domain with a smooth boundary in [Formula: see text]. We will study the interpolation problem for weighted Bergman spaces [Formula: see text]. In the case, [Formula: see text], and [Formula: see text], where [Formula: see text] is the conjugate ...
openaire   +3 more sources