The Schwarz Problem for Polyanalytic Functions
The Schwarz Problem for Polyanalytic Functions
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DOI：
10.4171/zaa/1244
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发表时间：
2005-06
影响因子：
1.2
通讯作者：
H. Begehr;Dieter Schmersau
中科院分区：
文献类型：
--
作者：
H. Begehr;Dieter Schmersau
将实部为调和泊松核的解析Schwarz核函数推广到多解析Schwarz核[Rocky Mountain J. Math. 27(1997), 669 - 706]，另见H. Begehr [Singapore: World Scientific 1994]。这里用它来给出一些高阶CauchySchwarz-Pompeiu表示，并解决了Poisson、非齐次Bitsadze和非齐次多解析方程的Schwarz问题。
The analytic Schwarz kernel function the real part of which is the harmonic Poisson kernel was generalized to a polyanalytic Schwarz kernel in a joint work with G. N. Hile [Rocky Mountain J. Math. 27 (1997), 669 – 706], see also H. Begehr [Singapore: World Scientific 1994]. It is here used to give some higher order CauchySchwarz-Pompeiu representations and to solve the Schwarz problem for the Poisson, the inhomogeneous Bitsadze and the inhomogeneous polyanalytic equation.