On a necessary condition for interpolation by functions in the Lipschitz class.
On a problem of linear conjugation in the case of nonsmooth lines and some measurable coefficients.
On a representation of the derivative of a conformal mapping.
On boundary behavior of Cauchy integrals
In this paper, we shall estimate the growth order of the n-th derivative Cauchy integrals at a point in terms of the distance between the point and the boundary of the domain. By using the estimate, we shall generalize Plemelj-Sokthoski theorem. We also consider the boundary behavior of generalized Cauchy integrals on compact bordered Riemann surfaces.
On limiting values of Cauchy type integral in a harmonic algebra with two-dimensional radical
We consider a certain analog of Cauchy type integral taking values in a three-dimensional harmonic algebra with two-dimensional radical. We establish sufficient conditions for an existence of limiting values of this integral on the curve of integration.
On meromorphic equivalence of linear difference operators
We consider linear difference equations whose coefficients are meromorphic at . We characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants. Using an approach inspired by the work of G. D. Birkhoff we show that this system is free.
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.