ON THE DIRICHLET PROBLEM IN POLY-HARDY CLASS

Abstract

In this paper, we study the Dirichlet problem in a poly-Hardy class. Firstly, we state the Dirichlet problem for inhomogeneous polyanalytic equation in the unit disc D. Then we give the properties of the functions in a poly-Hardy class. Lastly, we obtain the solutions of the Dirichlet problem for polyanalytic equations in a poly-Hardy class.