Riesz conjugate functions theorem for harmonic quasiconformal mappings

被引：4
作者：
Liu, Jinsong [1 ,2 ]
Zhu, Jian-Feng [3 ]
机构：
[1] Chinese Acad Sci, Acad Math & Syst Sci, HLM, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
[3] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2023年 / 434卷
基金：
国家重点研发计划;
关键词：
Bergman space; Hardy space; Harmonic mappings; Quasiconformal mappings; Riesz conjugate functions theorem; HP; HARDY;
D O I：
10.1016/j.aim.2023.109321
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We generalize the Riesz conjugate functions theorem for planar harmonic K-quasiregular mappings (when 1 < p <= 2) and harmonic K-quasiconformal mappings (when 2 < p < infinity) in the unit disk. Moreover, if K = 1, then our constant coincides with the classical analytic case. For the n dimensional case (n > 2), we also obtain the Riesz conjugate functions theorem for invariant harmonic K-quasiregular mappings when 1 < p <= 2. (c) 2023 Elsevier Inc. All rights reserved.
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页数：27
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