An extremal problem for Dirichlet-finite holomorphic functions on Riemann surfaces
type: Item
instance of: scholarly article
title: An extremal problem for Dirichlet-finite holomorphic functions on Riemann surfaces
zbMATH Open document ID: 0576.30040
DOI: 10.1007/BF02761401
author: Shinji Yamashita
published in: Israel Journal of Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Let R be a Riemann surface, f a nonconstant holomorphic function on R with finite Dirichlet integral D(f), and \(f_ 2\) the least harmonic majorant of f. Theorem: \(\pi\) \(\sum f_ 2(a)\leq D(f)\), the sum over all a for which \(f(a)=0\). Conditions for equality are given.
Mathematics Subject Classification ID: 30F99
zbMATH DE Number: 3920910
zbMATH Keywords: Dirichlet integral
reviewed by: Richard Rochberg
MaRDI profile type: Publication
cites work: Q5527882
cites work: On the Lindelöf principle
cites work: Q3259806
full work available at URL: https://doi.org/10.1007/bf02761401
OpenAlex ID: W2071426859
description: scientific article; zbMATH DE number 3920910