A converse to the Schwarz lemma for planar harmonic maps

被引：3
|
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.
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页数：10
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