Classical and Modern Potential Theory and Applications

Proceedings of the NATO Advanced Research Workshop, Château de Bonas, France, July 25--31, 1993

Inhalt

Preface. Nonlinear PDE and the Wiener Test; D.R. Adams. k-Superharmonic Functions and L. Kelvin's Theorem; Ö. Akin. On the Invariance of the Solutions of the Weinstein Equation under Möbius Transformations; Ö. Akin, H. Leutwiler. Radial Limiting Behaviour of Harmonic and Superharmonic Functions; D.H. Armitage. Multiparameter Processes Associated with Ornstein-Uhlenbeck Semi-Groups; J. Bauer. On the Problem of Hypoellipticity on the Infinite Dimensional Torus; A.D. Bendikov. L'équation de Monge-Ampère dans un espace de Banach; E.M.J. Bertin. Excessive Functions and Excessive Measures. Hunt's Theorem on Balayages, Quasi-Continuity; L. Beznea, N. Boboc. The Wiener Test for Poincaré-Dirichlet Forms; M. Biroli. The Best Approach for Boundary Limits; J. Bliedtner, P.A. Loeb. Fine Behaviour of Balayages in Potential Theory; N. Boboc. Some Results about Sequential Integration on Wiener Space; N. Bouleau. Schwarz Lemma Type Inequalities for Harmonic Functions in the Ball; B. Burgeth. Duality of H-Cones; S.-L. Eriksson-Bique. Régularité et intégrabilité des fonctionnelles de Wiener; D. Feyel. Poincaré Inequalities in L1-Norm for the Sphere and a Strong Isoperimetric Inequality in Rn; B. Fuglede. Uniform and Tangential Harmonic Approximation; S.J. Gardiner. Inversion and Reflecting Brownian Motion; J. Glover, M. Rao. Tau-Potentials; J. Glover, M. Rao, H. Sikic, R. Song. Fatou-Doob Limits and the Best Filters; K. Gowri-Sankaran. Gaussian Upper Bounds for the Heat Kernel and its Derivatives on a Riemannian Manifold; A. Grigor'yan. Integrals of Analytic Functions along 2 Curves; R.R. Hall, W.K. Hayman. On the Restricted Mean Value Propertyfor Measurable Functions; W. Hansen, N. Nadirashvili. A Constructive Method for Univalent Logharmonic Mappings; W. Hengartner, J. Rostand. Choquet-Type Integral Representation of Polyexcessive Functions; K. Janssen, H.-H. Müller. Refining the Local Uniform Convergence Topology; P.A. Loeb, H. Osswald. Daily Rheological Phenomena; T. Murai. Convergence Property and Superharmonic Functions on Bayalage Spaces; T. Murazawa. Mean Value Property of Harmonic Functions; I. Netuka, J. Veselý. Farrell and Mergelyan Sets for the Space of Bounded Harmonic Functions; F. Perez-Gonzalez, R. Trujillo-Gonzalez. Méthodes analytiques en dimension infinie; A. de la Pradelle. Construction d'un processus à deux paramètres à partir d'un semi-groupe à un paramètre; S. Song. Capacities and Harmonic Measures for Uniformly Elliptic Operators of Non-Divergence Form; J.-M. Wu. Problems.