On some boundary-value problems for functions with values in Clifford algebra
On the possibility of extending a function from a part of a domain to a generalized analytic function on this domain.
On the Radial Cluster Sets for Holomorphic Functions in the Unit Ball of Cn.
On the Riemann-Hilbert problem in the domain with a nonsmooth boundary.
On weighted Hardy spaces on the unit disk
In this paper we completely characterize those weighted Hardy spaces that are Poletsky-Stessin Hardy spaces . We also provide a reduction of problems to problems and demonstrate how such a reduction can be used to make shortcuts in the proofs of the interpolation theorem and corona problem.
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.
Schwarz-sche Randwertaufgabe fur eine Klasse der verallgemeinerten analytischen Funktionen
Solution of a linear integral equation of third kind.
Solutions with prescribed periods on the boundary components on non-linear elliptic systems of first order in multiply connected domains in the plane
Solvability of a Riemann linear conjugation problem on a fractal surface.
Spatial Riemann problem for analytic functions of two complex variables.
Spectral factorization of measurable rectangular matrix functions and the vector-valued Riemann problem.
We define spectral factorization in Lp (or a generalized Wiener-Hopf factorization) of a measurable singular matrix function on a simple closed rectifiable contour Γ. Such factorization has the same uniqueness properties as in the nonsingular case. We discuss basic properties of the vector valued Riemann problem whose coefficient takes singular values almost everywhere on Γ. In particular, we introduce defect numbers for this problem which agree with the usual defect numbers in the case of a nonsingular...
The classical and the modified Neumann problems for the inhomogeneous pluriholomorphic system in polydiscs.
The fundamental -form and global relations.