Results 51 to 60 of about 82,654 (305)

The ball embedding property of the open unit disc

, 2011
We prove that the open unit disc Delta in C satisfies the ball embedding property in C(2); i.e., given any discrete set of discs in C(2) there exists a proper holomorphic embedding Delta hooked right arrow C(2) which passes arbitrarily close to the discs.
Borell, Stefan,, Borell, Stefan, Stefan Borell   +2 more
core   +1 more source

Composition of entire function and analytic functions in the unit ball with a vanished gradient

Математичні Студії
The composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
doaj   +1 more source

The Fractional Carleson Measures on the Unit Ball of ℝn+1

Journal of Function Spaces and Applications, 2013
We construct a quantity in terms of Lp integral of the Jacobian of a conformal self-map on the unit ball of ℝn+1. Then, we characterize the fractional Carleson measures on the unit ball by the quantity.
Dongfang Wang, Bolin Ma
doaj   +1 more source

On holomorphic isometric embeddings of the unit n-ball into products of two unit m-balls [PDF]

Mathematische Zeitschrift, 2010
Let \({\mathbb B}^n\) denote the unit ball in \({\mathbb C}^n\) equipped with the Bergman metric. The author considers a holomorphic embedding \(F(z)=\bigl(A(z),B(z)\bigr)\) from the product \({\mathbb B}^m\times {\mathbb B}^m\) into \({\mathbb B}^n\), isometric up to a normalization constant \(\lambda \). There are two trivial such embeddings: \(F_1(z)
openaire   +4 more sources

A Counterexample Concerning C₀-Semigroups of Holomorphic Carathéodory Isometries

Mathematics
We give an example for a C0-semigroup of non-linear 0-preserving holomorphic Carathéodory isometries of the unit ball.
László L. Stachó
doaj   +1 more source

Multiplication Operator with BMO Symbols and Berezin Transform

Journal of Function Spaces, 2015
We discuss multiplication operator with a special symbol on the weighted Bergman space of the unit ball. We give the necessary and sufficient conditions for the compactness of multiplication operator on the weighted Bergman space of the unit ball.
Xue Feng, Kan Zhang, Jianguo Dong, Xianmin Liu, Chi Guan   +4 more
doaj   +1 more source

Volume fluctuations of random analytic varieties in the unit ball [PDF]

, 2023
Given a Gaussian analytic function $f_L$ of intesity $L$ in the unit ball of $\mathbb{C}^n, n \geq 2$, consider its (random) zero variety $Z\left(f_L\right)$. We reduce the variance of the $(n-1)$-dimensional volume of $Z\left(f_L\right)$ inside a pseudo-
Massaneda Clares, Francesc Xavier, Pridhnani, Bharti   +1 more
core  

Distributed Construction of Lightweight Spanners for Unit Ball Graphs [PDF]

, 2022
Resolving an open question from 2006 [Damian et al., 2006], we prove the existence of light-weight bounded-degree spanners for unit ball graphs in the metrics of bounded doubling dimension, and we design a simple (log^*n)-round distributed algorithm in ...
Khodabandeh, Hadi, Eppstein, David
core   +1 more source

Mechanochemical Synthesis and Characterization of Nanostructured ErB4 and NdB4 Rare‐Earth Tetraborides

Advanced Engineering Materials, Volume 27, Issue 6, March 2025.
ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur, Faruk Kaya, Bora Derin, Mustafa Lütfi Öveçoğlu, Ju Li, Duygu Ağaoğulları   +5 more
wiley   +1 more source

The n-width of the unit ball of H

Journal of Approximation Theory, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fisher, S.D, Stessin, M.I
openaire   +1 more source