Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Betsakos, Dimitrios"'
Let $(\phi_t)$ be a semigroup of holomorphic functions in the unit disk. We prove that all its orbits are rectifiable and that its forward orbits are Lipschitz curves. Moreover, we find a necessary and sufficient condition in terms of hyperbolic geom
Externí odkaz:
http://arxiv.org/abs/2501.01952
This article deals with functions with a prefixed range and their inclusion in Hardy and weighted Bergman spaces. This idea was originally introduced by Hansen for Hardy spaces, and it was recently taken into weighted Bergman spaces by Karafyllia and
Externí odkaz:
http://arxiv.org/abs/2409.09150
We consider solutions $u_f$ to the one-dimensional Robin problem with the heat source $f\in L^1[-\pi,\pi]$ and Robin parameter $\alpha>0$. For given $m$, $M$, and $s$, $0\le m
Externí odkaz:
http://arxiv.org/abs/2211.15991
We study semigroups $(\phi_t)_{t\geq 0}$ of holomorphic self-maps of the unit disk with Denjoy-Wolff point on the boundary. We show that the orthogonal speed of such semigroups is a strictly increasing function. This answers a question raised by F. B
Externí odkaz:
http://arxiv.org/abs/2209.09505
In this paper we discuss problems concerning the conformal condenser capacity of "hedgehogs", which are compact sets $E$ in the unit disk $\mathbb{D}=\{z:\,|z|<1\}$ consisting of a central body $E_0$ that is typically a smaller disk $\overline{\mathb
Externí odkaz:
http://arxiv.org/abs/2205.08107
Let $T_D$ denote the first exit time of a Brownian motion from a domain $D$ in ${\mathbb R}^n$. Given domains $U,W \subseteq {\mathbb R}^n$ containing the origin, we investigate the cases in which we are more likely to have fast exits from $U$ than $
Externí odkaz:
http://arxiv.org/abs/2105.08216
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2023 528(2)
Let $T^D$ denote the first exit time of a planar Brownian motion from a domain $D$. Given two simply connected planar domains $U,W \neq \SC$ containing $0$, we investigate the cases in which we are more likely to have fast exits (meaning for instance
Externí odkaz:
http://arxiv.org/abs/2001.08331
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 January 2021 493(1)
Publikováno v:
Transactions of the American Mathematical Society, 2019 Aug . 3724 (1019), 2735-2752.
Externí odkaz:
https://www.jstor.org/stable/26762502