Hardy spaces of meta-analytic functions and the Schwarz boundary value problem

被引：0
|
作者：
William L. Blair
机构：
[1] The University of Texas at Tyler,Department of Mathematics
来源：
Complex Analysis and its Synergies | 2024年 / 10卷 / 3期
关键词：
Schwarz boundary value problem; Boundary values in the sense of distributions; Nonhomogeneous Cauchy-Riemann equations; Meta-analytic functions; Hardy spaces; 30E25; 30G20; 30H10; 35G15; 46F20;
D O I：
10.1007/s40627-024-00139-9
中图分类号：
学科分类号：
摘要：
We extend representation formulas that generalize the similarity principle of solutions to the Vekua equation to certain classes of meta-analytic functions. Also, we solve a generalization of the higher-order Schwarz boundary value problem in the context of meta-analytic functions with boundary conditions that are boundary values in the sense of distributions.
引用
收藏
相关论文
共 50 条
12345