A general continuity principle
A Levy-Khinchin Formula for Semigroups with Involutions.
A note on continuity principle in potential theory
A Note on ?-Equilibrium Measures for Rational Maps.
A Potential-Theoretic Approach to Parallel Addition.
A trace inequality for generalized potentials
Applications harmoniques stables
Besov capacity and Hausdorff measures in metric measure spaces.
Das Picard-Prinzip und verwandte Fragen bei Störung von harmonischen Räumen.
Einige Bemerkungen über den Satz von Keldych.
Espaces harmoniques et processus de Markov
Harmonic measures for symmetric stable processes
Let D be an open set in ℝⁿ (n ≥ 2) and ω(·,D) be the harmonic measure on with respect to the symmetric α-stable process (0 < α < 2) killed upon leaving D. We study inequalities on volumes or capacities which imply that a set S on ∂D has zero harmonic measure and others which imply that S has positive harmonic measure. In general, it is the relative sizes of the sets S and that determine whether ω(S,D) is zero or positive.
Harmonic spaces associated with adjoints of linear elliptic operators
Let be an elliptic linear operator in a domain in . We imposse only weak regularity conditions on the coefficients. Then the adjoint exists in the sense of distributions, and we start by deducing a regularity theorem for distribution solutions of equations of type given distribution. We then apply to R.M. Hervé’s theory of adjoint harmonic spaces. Some other properties of are also studied. The results generalize earlier work of the author.
Harmonische Formen in einer Matrixvariablen.
Imbedding theorems of Sobolev type in potential theory.
Inégalités liées au principe du maximum
Invariant sets for -harmonic measure.
Manifolds with strong harmonic boundaries but without Green's functions of clamped bodies
Mesures associées à une forme de Dirichlet. Applications
Minimal Varieties and Harmonic Maps in Tori.