A Family of Optimal Conditions for the Absence of Bound States in a Potential
A fine limit property of functions superharmonic outside a manifold
A general continuity principle
A general definition of capacity
One gives a general definition of capacity which includes -capacity, extremal length and a quantity defined by N.G. Meyers.
A generalised conical density theorem for unrectifiable sets.
A Probabilistic Proof and Applications of Wiener's Test for the Heat Operator.
A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
An generalization of the Riesz potential
An integral inequality for capacities.
An inversion formula and a note on the Riesz kernel
For potentials , where and are certain Schwartz distributions, an inversion formula for is derived. Convolutions and Fourier transforms of distributions in -spaces are used. It is shown that the equilibrium distribution with respect to the Riesz kernel of order , , of a compact subset of has the following property: its restriction to the interior of is an absolutely continuous measure with analytic density which is expressed by an explicit formula.
Another extension of Orlicz--Sobolev spaces to metric spaces.