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Classical and Modern Potential Theory and Applications

  • Book
  • © 1994

Overview

Editors:
  1. K. GowriSankaran

    1. Department of Mathematics and Statistics, McGill University, Montreal, Canada

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  2. J. Bliedtner

    1. Department of Mathematics, J.W. Goethe University, Frankfurt, Germany

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  3. D. Feyel

    1. Department of Mathematics, University Evry-Essonne, Evry, France

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  4. M. Goldstein

    1. Department of Mathematics, Arizona State University, Tempe, USA

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  5. W. K. Hayman

    1. Department of Mathematics, University of York, York, UK

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  6. I. Netuka

    1. Faculty of Mathematics and Physics, Charles University, Praha, Republic of Czechia

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Part of the book series: Nato Science Series C: (ASIC, volume 430)

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Table of contents (34 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  2. Nonlinear PDE and the Wiener Test

    • D. R. Adams
    Pages 1-9

  3. k-Superharmonic Functions and L. Kelvin’s Theorem

    • Ömer Akin
    Pages 11-17

  4. On the Invariance of the Solutions of the Weinstein Equation under Möbius Transformations

    • Ömer Akin, Heinz Leutwiler
    Pages 19-29

  5. Radial Limiting Behaviour of Harmonic and Super-Harmonic Functions

    • D. H. Armitage
    Pages 31-40

  6. Multiparameter Processes Associated with Ornstein-Uhlenbeck Semigroups

    • Jürgen Bauer
    Pages 41-55

  7. On the Problem of Hypoellipticity on the Infinite Dimensional Torus

    • A. D. Bendikov
    Pages 57-59

  8. L’équation de Monge-Ampère dans un espace de Banach

    • E. M. J. Bertin
    Pages 61-75

  9. Excessive Functions and Excessive Measures: Hunt’s Theorem on Balayages, Quasi-Continuity

    • Lucian Beznea, Nicu Boboc
    Pages 77-92

  10. The Wiener Test for Poincaré-Dirichlet Forms

    • M. Biroli
    Pages 93-104

  11. The Best Approach for Boundary Limits

    • Jürgen Bliedtner, Peter A. Loeb
    Pages 105-112

  12. Fine Behaviour of Balayages in Potential Theory

    • Nicu Boboc
    Pages 113-123

  13. Some Results about Sequential Integration on Wiener Space

    • Nicolas Bouleau
    Pages 125-132

  14. Schwarz Lemma Type Inequalities for Harmonic Functions in the Ball

    • Bernhard Burgeth
    Pages 133-147

  15. Duality of H-Cones

    • S.-L. Eriksson-Bique
    Pages 149-157

  16. Régularité et intégrabilité des fonctionnelles de Wiener

    • D. Feyel
    Pages 159-164

  17. Poincaré Inequalities in L 1-Norm for the Sphere and a Strong Isoperimetric Inequality in Rn

    • Bent Fuglede
    Pages 165-183

  18. Uniform and Tangential Harmonic Approximation

    • Stephen J. Gardiner
    Pages 185-198

  19. Inversion and Reflecting Brownian Motion

    • Joseph Glover, Murali Rao
    Pages 199-215

  20. Γ-Potentials

    • Joseph Glover, Murali Rao, Hrvoje Å ikić, Renming Song
    Pages 217-232
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Keywords

Editors and Affiliations

  • Department of Mathematics and Statistics, McGill University, Montreal, Canada

    K. GowriSankaran

  • Department of Mathematics, J.W. Goethe University, Frankfurt, Germany

    J. Bliedtner

  • Department of Mathematics, University Evry-Essonne, Evry, France

    D. Feyel

  • Department of Mathematics, Arizona State University, Tempe, USA

    M. Goldstein

  • Department of Mathematics, University of York, York, UK

    W. K. Hayman

  • Faculty of Mathematics and Physics, Charles University, Praha, Republic of Czechia

    I. Netuka

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