A Counterexample to the Strong Subadditivity of Extremal Plurisubharmonic Functions.
A general continuity principle
A Hilbert Lemniscate Theorem in
For a regular, compact, polynomially convex circled set in , we construct a sequence of pairs of homogeneous polynomials in two variables with
A large Wiener sausage from crumbs.
A mixed boundary value problem for heat potentials (Preliminary communication)
A note on continuity principle in potential theory
A note on the convexity theorem for mean values of subtemperatures.
A Property of Biharmonic Functions with Dirichlet Finite Laplacians.
A Radon-Nikodym theorem for capacities.
A recurrence condition for some subordinated strongly local Dirichlet forms.
A remark on the uniqueness of quasi continuous functions.
A unicity theorem for plurisubharmonic functions
We give sufficient conditions for unicity of plurisubharmonic functions in Cegrell classes.
A Unified Theory of Harmonic Measures and Capacitary Potentials.
A variational characterization of condenser capacities in within a class of plurisubharmonic functions
Adams inequality on metric measure spaces.
Alexander's capacity for intersections of ellipsoids in .
Alexander’s projective capacity for polydisks and ellipsoids in
Alexander’s projective capacity for the polydisk and the ellipsoid in is computed. Sharper versions of two inequalities concerning this capacity and some other capacities in are given. A sequence of orthogonal polynomials with respect to an appropriately defined measure supported on a compact subset K in is proved to have an asymptotic behaviour in similar to that of the Siciak homogeneous extremal function associated with K.
Analytic potential theory over the -adics
Over a non-archimedean local field the absolute value, raised to any positive power , is a negative definite function and generates (the analogue of) the symmetric stable process. For , this process is transient with potential operator given by M. Riesz’ kernel. We develop this potential theory purely analytically and in an explicit manner, obtaining special features afforded by the non-archimedean setting ; e.g. Harnack’s inequality becomes an equality.
Approximation of arbitrary Dirichlet processes by Markov chains
Arithmetic capacities on IP N.