On the Hardy-Littlewood maximal theorem.
On the integral representation of superbiharmonic functions
We consider a nonnegative superbiharmonic function satisfying some growth condition near the boundary of the unit disk in the complex plane. We shall find an integral representation formula for in terms of the biharmonic Green function and a multiple of the Poisson kernel. This generalizes a Riesz-type formula already found by the author for superbihamonic functions satisfying the condition in the unit disk. As an application we shall see that the polynomials are dense in weighted Bergman...
On the Iversen-Tsuji theorem quasiregular mappings.
On the limits of the potential of the double distribution (Preliminary communication)
On the logarithmic potential
On the logarithmic potential of the double distribution
On the mean value property of finely harmonic and finely hyperharmonic functions.
On the modified logarithmic potential
On the Neumann operator of the arithmetical mean.
On the numerical solution of the first biharmonic equation
On the order of starlikeness and convexity of complex harmonic functions with a two-parameter coefficient condition
The article of J. Clunie and T. Sheil-Small [3], published in 1984, intensified the investigations of complex functions harmonic in the unit disc Δ. In particular, many papers about some classes of complex mappings with the coefficient conditions have been published. Consideration of this type was undertaken in the period 1998-2004 by Y. Avci and E. Złotkiewicz [2], A. Ganczar [5], Z. J. Jakubowski, G. Adamczyk, A. Łazińska and A. Sibelska [1], [8], [7], H. Silverman [12] and J. M. Jahangiri [6],...
On the parabolic potentials in degenerate-type heat equation.
On the radial boundary values of subharmonic functions.
On the reduced modulus of a half-strip.
On the Regularity of Alexandrov Surfaces with Curvature Bounded Below
In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance derives from a Riemannian metric whose components, for any p ∈ [1, 2), locally belong to W1,p out of a discrete singular set. This result is based on Reshetnyak’s work on the more general class of surfaces with bounded integral curvature.
On the Riemann-Hilbert problem in multiply connected domains
We proved the existence of multivalent solutions with the infinite number of branches for the Riemann-Hilbert problem in the general settings of finitely connected domains bounded by mutually disjoint Jordan curves, measurable coefficients and measurable boundary data. The theorem is formulated in terms of harmonic measure and principal asymptotic values. It is also given the corresponding reinforced criterion for domains with rectifiable boundaries stated in terms of the natural parameter and nontangential...
On the sharpness of the Stolz approach.
On the structure of the conformal Gaussian curvature equation on R2. II.
On the support of the equilibrium measure for arcs of the unit circle and for real intervals.
On univalent harmonic functions.