Arbitrary random variables and Wiman's inequality for analytic functions in the unit disc

We consider the class $\mathcal{A}(\varphi,\beta)$ of random analytic functions in the unit disk $\mathbb{C}=\{z\colon |z|<1\}$ of the form $f(z,\omega)=f(z,\omega_1,\omega_2)=\sum_{n=0}^{+\infty} R_n(\omega_1)\xi_n(\omega_2)a_nz^n,$ where $a_n\in\mathbb{C}\colon \lim\limits_{n\to+\infty}\sqrt[...

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Detalles Bibliográficos

Principais autores:	A. O. Kuryliak, M. R. Kuryliak, O. M. Trusevych
Formato:	Artigo
Idioma:	Alemão
Publicado:	Ivan Franko National University of Lviv 2024-09-01
Series:	Математичні Студії
Assuntos:	analytic function; wiman’s inequality; maximum modulus; maximal term; sub-gaussian random variables; sub-exponential random variables; dependent random variables
Acceso en liña:	http://matstud.org.ua/ojs/index.php/matstud/article/view/553
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