THE NONLINEAR BOUNDARY VALUE PROBLEM FOR k HOLOMORPHIC FUNCTIONS IN C2

作     者：崔艳艳 李尊凤 谢永红 乔玉英 Yanyan CUI;Zunfeng LI;Yonghong XIE;Yuying QIAO

作者机构：College of Mathematics and Statistics Zhoukou Normal University College of Science Hebei University of Science and Technology College of Mathematics and Information Science Hebei Normal University 

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

年 卷 期：2023年第43卷第4期

页      面：1571-1586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 the NSF of China (11571089,11871191) the NSF of Henan Province (222300420397) the NSF of Hebei Province (A2022208007) the Key Foundation of Hebei Normal University (L2018Z01) 

主　　题：k holomorphic functions boundary value problems Cauchy type singular integral operators 32A30 30C45 

摘      要：k holomorphic functions are a type of generation of holomorphic functions. In this paper, a nonlinear boundary value problem for k holomorphic functions is primarily discussed on generalized polycylinders in C2. The existence of the solution for the problem is studied in detail with the help of the boundary properties of Cauchy type singular integral operators with a k holomorphic kernel. Furthermore, the integral representation for the solution is obtained.