Bohr Inequalities for Certain Classes of Harmonic Mappings

被引：0
|
作者：
Ahamed, Molla Basir [1 ]
Ahammed, Sabir [1 ]
机构：
[1] Jadavpur Univ, Dept Math, Kolkata 700032, West Bengal, India
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2024年 / 21卷 / 01期
关键词：
Bounded analytic functions; Bohr inequality; Bohr-Rogosinski inequality; Schwarz-Pick lemma; shifted disks; K-quasiregular sense-preserving harmonic mappings; SUBORDINATING FAMILIES; ANALYTIC-FUNCTIONS; RADIUS; THEOREM; SERIES;
D O I：
10.1007/s00009-023-02564-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Bohr's classical theorem and its generalizations are now active areas of research and have been the source of investigations in numerous function spaces. For harmonic mappings of the formf=h+g,we obtain an improved version of Bohr inequality forK-quasiregular harmonicmappings in the shifted disk Omega gamma={z is an element of C:|z+gamma 1-gamma|<11-gamma,gamma is an element of[0,1)}which contains the unit diskD. In addition, we obtain sharpBohr inequalities for class of K-quasiconformal harmonic mappings withbounded analytic part
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页数：21
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