On sharp constants in Paley problem for plurisubharmonic functions of lower order $\rho>1$

Autor:	Bërdëllima, Arian
Rok vydání:	2021
Předmět:	Mathematics - Complex Variables Mathematics - Functional Analysis 31A05 31B05 32U05 26D10 42B25
Druh dokumentu:	Working Paper
Popis:	In 1999 Khabibullin established the best estimate in Paley problem for a plurisubharmonic function $u$ of finite lower order $0\leq\rho\leq 1$. For $\rho>1$ obtaining a sharp estimate has remained an open question. In this work we solve this problem. We also provide some estimates for the types of the characteristic functions $T(r,u)$ and $M(r,u)$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2105.04275 Zobrazit plný text záznamu View this record from Arxiv