Classical and Modern Potential Theory and Applications

Table of Contents

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   Book Overview
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   Chapter 1 Nonlinear PDE and the Wiener Test
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   Chapter 2 k-Superharmonic Functions and L. Kelvin’s Theorem
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   Chapter 3 On the Invariance of the Solutions of the Weinstein Equation under Möbius Transformations
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   Chapter 4 Radial Limiting Behaviour of Harmonic and Super-Harmonic Functions
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   Chapter 5 Multiparameter Processes Associated with Ornstein-Uhlenbeck Semigroups
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   Chapter 6 On the Problem of Hypoellipticity on the Infinite Dimensional Torus
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   Chapter 7 L’équation de Monge-Ampère dans un espace de Banach
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   Chapter 8 Excessive Functions and Excessive Measures: Hunt’s Theorem on Balayages, Quasi-Continuity
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    Chapter 9 The Wiener Test for Poincaré-Dirichlet Forms
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    Chapter 10 The Best Approach for Boundary Limits
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    Chapter 11 Fine Behaviour of Balayages in Potential Theory
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    Chapter 12 Some Results about Sequential Integration on Wiener Space
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    Chapter 13 Schwarz Lemma Type Inequalities for Harmonic Functions in the Ball
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    Chapter 14 Duality of H-Cones
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    Chapter 15 Régularité et intégrabilité des fonctionnelles de Wiener
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    Chapter 16 Poincaré Inequalities in L 1 -Norm for the Sphere and a Strong Isoperimetric Inequality in R n
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    Chapter 17 Uniform and Tangential Harmonic Approximation
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    Chapter 18 Inversion and Reflecting Brownian Motion
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    Chapter 19 Γ-Potentials
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    Chapter 20 Fatou-Doob Limits and the Best Filters
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    Chapter 21 Gaussian Upper Bounds for the Heat Kernel and for Its Derivatives on a Riemannian Manifold
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    Chapter 22 Integrals of analytic functions along 2 curves
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    Chapter 23 On the Restricted Mean Value Property for Measurable Functions
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    Chapter 24 A Constructive Method for Univalent Logharmonic Mappings
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    Chapter 25 Choquet-Type Integral Representation of Polyexcessive Functions
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    Chapter 26 Refining the Local Uniform Convergence Topology
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    Chapter 27 Daily rheological phenomena
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    Chapter 28 Convergence Property and Superharmonic Functions on Balayage Spaces
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    Chapter 29 Mean Value Property and Harmonic Functions
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    Chapter 30 Farrell and Mergelyan Sets for the Space of Bounded Harmonic Functions
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    Chapter 31 Méthodes Analytiques en dimension infinie
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    Chapter 32 Construction d’un processus à deux paramètres à partir d’un semigroupe à un paramètre
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    Chapter 33 Capacities and Harmonic Measures for Uniformly Elliptic Operators of Nondivergence Form
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    Chapter 34 Problems