Classical and Modern Potential Theory and Applications [E-Book] / edited by K. GowriSankaran, J. Bliedtner, D. Feyel, M. Goldstein, W. K. Hayman, I. Netuka.
Bliedtner, J., (editor)
Feyel, D., (editor) / Goldstein, M., (editor) / GowriSankaran, K., (editor) / Hayman, W. K., (editor) / Netuka, I., (editor)
Dordrecht : Springer, 1994
XIV, 470 p. online resource.
NATO ASI Series, Series C: Mathematical and Physical Sciences ; 430
Full Text
Table of Contents:
  • Nonlinear PDE and the Wiener Test
  • k-Superharmonic Functions and L.Kelvin’s Theorem
  • On the Invariance of the Solutions of the Weinstein Equation under Möbius Transformations
  • Radial Limiting Behaviour of Harmonic and Superharmonic Functions
  • Multiparameter Processes associated with Ornstein-Uhlenbeck Semi-groups
  • On the Problem of Hypoellipticity on the Infinite Dimensional Torus
  • L’équation de Monge-Ampère dans un espace de Banach
  • Excessive Functions and Excessive Measures. Hunt’s Theorem on Balayages, Quasi-continuity
  • The Wiener Test for Poincaré-Dirichlet Forms
  • The Best Approach for Boundary Limits
  • Fine Behaviour of Balayages in Potential Theory
  • Some Results about Sequential Integration on Wiener Space
  • Schwarz Lemma type Inequalities for Harmonic Functions in the Ball
  • Duality of H-Cones
  • Régularité et Intégrabilité des Fonctionnelles de Wiener
  • Poincaré Inequalities in L1-norm for the Sphere and a Strong Isoperimetric Inequality in R1
  • Uniform and Tangential Harmonic Approximation
  • Inversion and Reflecting Brownian Moti
  • ?-Potentials
  • Fatou-Doob Limits and the Best Filters
  • Gaussian Upper Bounds for the Heat Kernel and its Derivatives on a Riemannian Manifold
  • Integrals of Analytic Functions along 2 Curves
  • On the Restricted Mean Value Property for Measurable Functions
  • A Constructive Method for Univalent Logharmonic Mappings
  • Choquet Type Integral Representation of Polyexcessive Functions
  • Refining the Local Uniform Convergence Topology
  • Daily Rheological Phenomena
  • Convergence Property and Superharmonic Functions on Balayage Spaces
  • Mean Value Property of Harmonic Functions
  • Farrell and Mergelyan Sets for the Space of Bounded Harmonic Functions
  • Mèthodes Analytiques en Dimension Infinie
  • Construction d’un Processus à deux Parametres à partir d’un Semi-groupe à un Paramètre
  • Capacities and Harmonic Measures for Uniformly Elliptic Operators of non-Divergence Form
  • Problems.