A converse to the Schwarz lemma for planar harmonic maps

被引：2

作者：

Brevig, Ole Fredrik ^{[1
]}

Ortega-Cerda, Joaquim ^{[2
,3
]}

Seip, Kristian ^{[4
]}

机构：

[1] Univ Oslo, Dept Math, N-0851 Oslo, Norway

[2] Univ Barcelona, Dept Matemat & Informat, Gran Via 585, Barcelona 08007, Spain

[3] Barcelona Grad Sch Math, Gran Via 585, Barcelona 08007, Spain

[4] Norwegian Univ Sci & Technol NTNU, Dept Math Sci, NO-7491 Trondheim, Norway

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 497卷 / 02期

关键词：

Hardy spaces; Planar harmonic maps; Schwarz lemma;

D O I：

10.1016/j.jmaa.2020.124908

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A sharp version of a recent inequality of Kovalev and Yang on the ratio of the (H-1)* and H-4 norms for certain polynomials is obtained. The inequality is applied to establish a sharp and tractable sufficient condition for the Wirtinger derivatives at the origin for harmonic self-maps of the unit disc which fix the origin. (C) 2020 The Author(s). Published by Elsevier Inc.

引用

页数：10

共 7 条

[1] Linear functions and duality on the infinite polytorus [J].