Riemann-Hilbert problems for Hardy space of meta-analytic functions on the unit disc
Riemann-Hilbert problems for Hardy space of meta-analytic functions on the unit disc
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DOI：
10.1007/s11785-017-0705-1
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
Wang Ying
中科院分区：
文献类型：
--
作者：
Ku Min;He Fuli;Wang Ying
The aim of this paper is to study Riemann-Hilbert problems for Hardy space of a class of meta-analytic functions defined on the unit disc. Here, the meta-analytic functions we focus on are null-solutions to a class of polynomially Cauchy-Riemann equations. We first establish decomposition theorems for Hardy space of meta-analytic functions defined on the unit disc, and use them to characterize the boundary behavior of Hardy space of meta-analytic functions defined on the unit disc. Then, we make full use of these decomposition theorems and a transform constructed to solve the Riemann–Hilbert problem for Hardy space of a class of meta-analytic functions in two different cases of the parameter involved, separately. Finally, we give explicit integral expressions of solutions and conditions of solvability, respectively.
