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Turkish Journal of Mathematics

DOI

10.3906/mat-0812-38

Abstract

In this work, we investigate the solvability of the problem \frac{\partial^2w}{\partial \overline\phi ^2}=f Re\{i\phi(z)w(z)\}=\gamma_1(z),Rew_{\overline\phi}(z)=\gamma_2(z) z \in \partial D in the unit disk of complex plane. Here f , \gamma_1 and \gamma_2 are given m \times s-complex matrix-valued functions; f\in L^{p} (\overline{D}), \gamma_1, \gamma_2 \in C(\partial D) and \phi is a generating solution for Q-holomorphic functions.

First Page

29

Last Page

46

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