Randwertaufgabe von Hilbert-Typus fur die p-analytischen Funktionen und die Methode der Fourier-Schen Transformation
Reflection and a mixed boundary value problem concerning analytic functions
A mixed boundary value problem on a doubly connected domain in the complex plane is investigated. The solution is given in an integral form using reflection mapping. The reflection mapping makes it possible to reduce the problem to an integral equation considered only on a part of the boundary of the domain.
Regularity of free boundaries in two dimensions
Relations between the boundary values and periods for generalized analytic functions in
Riemann and Hilbert boundary value problems in BMO classes for holomorphic functions.
Riemann problem on the double of a multiply connected circular region
The Riemann problem has been solved in [9] for an arbitrary closed Riemann surface in terms of the principal functionals. This paper is devoted to solution of the problem only for the double of a multiply connected region and can be treated as complementary to [9,1]. We obtain a complete solution of the Riemann problem in that particular case. The solution is given in analytic form by a Poincaré series.
Riemann-Hilbert boundary value problems in BMO classes for generalized analytic functions.