On (r, 2)-capacities for a class of elliptic pseudo differential operators.
On semi-martingale characterizations of functionals of symmetric Markov processes.
On series of homogeneous polynomials and their partial sums
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 subharmonic functions and differential geometry in the large.
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 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
On the capacity of a plane condenser and conformal mapping.
On the Choquet integrals associated to Bessel capacities
We characterize the Choquet integrals associated to Bessel capacities in terms of the preduals of the Sobolev multiplier spaces. We make use of the boundedness of local Hardy-Littlewood maximal function on the preduals of the Sobolev multiplier spaces and the minimax theorem as the main tools for the characterizations.
On the Construction of Harmonie and Holomorphic Maps Between Surfaces.
On the Convergence of the Galerkin Method for Nonsmooth Solutions of Integral Equations.
On the definition and properties of p-superharmonic functions.
On the Dirichlet Problem at Infinity for Manifolds of Nonpositive Curvature.
On the Dirichlet Problem for the Complex Monge-Ampère Operator.
On the equivalence between locally polar and globally polar sets in
On the equivalence of Green functions for general Schrödinger operators on a half-space
We consider the general Schrödinger operator on a half-space in ℝⁿ, n ≥ 3. We prove that the L-Green function G exists and is comparable to the Laplace-Green function provided that μ is in some class of signed Radon measures. The result extends the one proved on the half-plane in [9] and covers the case of Schrödinger operators with potentials in the Kato class at infinity considered by Zhao and Pinchover. As an application we study the cone of all positive L-solutions continuously vanishing...
On the extension in the Hardy classes and the Nevanlinna class
On the integral representation of finely superharmonic functions
In the present paper we study the integral representation of nonnegative finely superharmonic functions in a fine domain subset of a Brelot -harmonic space with countable base of open subsets and satisfying the axiom . When satisfies the hypothesis of uniqueness, we define the Martin boundary of and the Martin kernel and we obtain the integral representation of invariant functions by using the kernel . As an application of the integral representation we extend to the cone of nonnegative...