THE BOHR-TYPE INEQUALITIES FOR HOLOMORPHIC MAPPINGS WITH A LACUNARY SERIES IN SEVERAL COMPLEX VARIABLES

作     者：林柔苑 刘名生 Saminathan PONNUSAMY Rouyuan LIN;Mingsheng LIU;Saminathan PONNUSAMY

作者机构：School of Mathematical SciencesSouth China Normal UniversityGuangzhou510631China Department of MathematicsIndian Institute of Technology MadrasChennai600036India Department of MathematicsPetrozavodsk State Universityul.Lenina 33185910PetrozavodskRussia 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2023年第43卷第1期

页      面：63-79页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by Guangdong Natural Science Foundations(2021A1515010058) 

主　　题：Bohr radius lacunary series high-dimensional space alternating series 

摘      要：In this paper,we mainly use the Frechet derivative to extend the Bohr inequality with a lacunary series to the higher-dimensional space,namely,mappings from Unto U(*** Un).In addition,we discuss whether or not there is a constant term in f,and we obtain two redefined Bohr inequalities in ***,we redefine the Bohr inequality of the odd and even terms of the analytic function f so as to obtain conclusions for two different higher-dimensional alternating series.