On Polynomially Bounded Harmonic Functions on the Lattice
We prove that if is harmonic and there exists a polynomial such that f + W is nonnegative, then f is a polynomial.
On pseudospheres.
On pseudospheres that are quasispheres.
We construct bounded domains D not equal to a ball in n ≥ 3 dimensional Euclidean space, Rn, for which ∂D is homeomorphic to a sphere under a quasiconformal mapping of Rn and such that n - 1 dimensional Hausdorff measure equals harmonic measure on ∂D.
On (r, 2)-capacities for a class of elliptic pseudo differential operators.
On semi-martingale characterizations of functionals of symmetric Markov processes.
On separately subharmonic functions (Lelong’s problem)
The main result of the present paper is : every separately-subharmonic function , which is harmonic in , can be represented locally as a sum two functions, , where is subharmonic and is harmonic in , subharmonic in and harmonic in outside of some nowhere dense set .
On series of homogeneous polynomials and their partial sums
On solution of the integral equations for the potential problems of two circular-strips.
On some problems of Choquet theory connected with potential theory
On some subclasses of harmonic functions defined by fractional calculus.
On some translation invariant balayage spaces
It is well known that strong Feller semigroups generate balayage spaces provided the set of their excessive functions contains sufficiently many elements. In this note, we give explicit examples of strong Feller semigroups which do generate balayage spaces. Further we want to point out the role of the generator of the semigroup in the related potential theory.
On strong tracts of subharmonic functions of infinite lower order
The notion of a strong asymptotic tract for subharmonic functions is defined. Eremenko's value b(∞,u) for subharmonic functions is introduced and it is used to provide an exact upper estimate of the number of strong tracts of subharmonic functions of infinite lower order. It is also shown that b(∞,u) ≤ π for subharmonic functions of infinite lower order.
On Subharmonic Behaviour and Oscillation of Functions on Balls in Rn
On subharmonic functions and differential geometry in the large.
On subharmonicity inequalities involving solutions of generalized Cauchy-Riemann equations
On symmetry of the pluricomplex Green function for ellipsoids
We show that in the class of complex ellipsoids the symmetry of the pluricomplex Green function is equivalent to convexity of the ellipsoid.
On the -Laplacian.
On the analytic structure of harmonic groups.
On the asymptotic behavior of Dirichlet problems in a riemannian manifold less small random holes
On the base and the essential base in parabolic potential theory