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THE NONLINEAR BOUNDARY VALUE PROBLEM FOR k HOLOMORPHIC FUNCTIONS IN C~2

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【Author】 Yanyan CUI;Zunfeng LI;Yonghong XIE;Yuying QIAO;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;

【通讯作者】乔玉英;

【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；

【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 C~2. 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.更多还原

【Abstract】 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 C~2. 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.更多还原

【关键词】 k holomorphic functions； boundary value problems； Cauchy type singular integral operators；
【Key words】 k holomorphic functions； boundary value problems； Cauchy type singular integral operators；

【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)

【文献出处】 Acta Mathematica Scientia ,数学物理学报 , 编辑部邮箱 ,2023年04期

【分类号】O175.8
【下载频次】1

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