O zonální funkci harmonické
On a generalized logarithmic kernel and its potentials
On a heat potential (Preliminary communication)
On generalized Fatou theorems for the square root of the Poisson kernel and in rank one symmetric space
On mean value properties involving a logarithm-type weight
Two new assertions characterizing analytically disks in the Euclidean plane are proved. Weighted mean value property of positive solutions to the Helmholtz and modified Helmholtz equations are used for this purpose; the weight has a logarithmic singularity. The obtained results are compared with those without weight that were found earlier.
On solution of the integral equations for the potential problems of two circular-strips.
On the boundness of the Stokes semigroup in two-dimensional exterior domains.
On the convergence of Neumann series for noncompact operators
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 parabolic potentials in degenerate-type heat equation.