Area integrals for normal and Yosida functions
type: Item
instance of: scholarly article
title: Area integrals for normal and Yosida functions
zbMATH Open document ID: 0594.30035
author: Shinji Yamashita
published in: Proceedings of the Japan Academy. Series A
publication date: 1986-01-01T00:00:00Z
review text: The aim of the article under review is to find necessary and sufficient conditions on a function f meromorphic in \(D=\{| z| <1\}\) in order that it be a normal function \[ (i.e.\quad \sup_{z\in D}(1-| z|^ 2)\frac{| f'(z)|}{1+| f(z)|^ 2}<\infty) \] or a Yosida function \[ (i.e.\quad \sup_{z\in D}\frac{| f'(z)|}{1+| f(z)|^ 2}<\infty). \]
Mathematics Subject Classification ID: 30D45
Mathematics Subject Classification ID: 30D30
zbMATH DE Number: 3955346
zbMATH Keywords: area integral
zbMATH Keywords: normal function
zbMATH Keywords: Yosida function
MaRDI profile type: Publication
full work available at URL: pjaa.62.185
OpenAlex ID: W1980244391
cites work: Boundary behaviour and normal meromorphic functions
cites work: On K. Yosida's class $\left( A \right)$ of meromorphic functions
cites work: Area criteria for functions to be Bloch, normal, and Yosida
cites work: Q3689420
cites work: Schlicht holomorphic functions and the Riccati differential equation
cites work: Q4758191
DOI: 10.3792/PJAA.62.185
description: scientific article; zbMATH DE number 3955346