Potential Theory

1. Front Matter

   Pages i-ix

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2. On Weighted Beppo Levi Functions

   • Hiroaki Aikawa

   Pages 1-6

3. Generalized Cauchy-Riemann Equations and the Positive \(\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle\thicksim}$}}{k}\)-Subharmonic Functions

   • Ömer Akin, A. Okay Çelebi

   Pages 7-11

4. Iteration Methods for Potential Problems

   • Thomas S. Angell, Ralph E. Kleinman, Gary F. Roach

   Pages 13-28

5. On the Poisson Equation on the Infinite Dimensional Torus

   • Alexander D. Bendikov, Igor V. Pavlov

   Pages 29-38

6. A Characterization of Elementary Potential Theory

   • Hedi Ben Saad, Klaus Janßen

   Pages 39-46

7. Wiener Estimates for Solutions of Elliptic Equations in Nondivergence Form

   • Marco Biroli

   Pages 47-52

8. Approximation by Continuous Potentials

   • Jürgen Bliedtner, Wolfhard Hansen

   Pages 53-58

9. The Schrödinger Equation Δu = µu in a Neighbourhood of an Isolated Singularity of µ

   • Abderrahman Boukricha

   Pages 59-61

10. A Characterization of the Fine Sheaf Property

    • Aurel Cornea

    Pages 63-69

11. Harmonic Morphisms and Ray Processes

    • Laszlo Csink, Bernt Øksendal

    Pages 71-74

12. On Dirichlet’s Boundary Value Problem for Certain Anisotropic Differential and Pseudo-Differential Operators

    • Karl Doppel, Niels Jacob

    Pages 75-83

13. Hyperharmonic Cones

    • Sirkka-Liisa Eriksson-Bique

    Pages 85-95

14. Jump Relations for Surface Potentials in Case of Continuous Densities

    • Alexander Hornberg

    Pages 97-101

15. On a Unified Characterization of Capacity

    • George C. Hsiao, Ralph E. Kleinman

    Pages 103-119

16. A Note on the Computation of Green Functions for Sublaplacians on Lie Algebras of Type H

    • H. Hueber

    Pages 121-126

17. On Thermoelastic Potential

    • Hung Do Duc, Jerzy Gawinecki, Adam Piskorek

    Pages 127-129

18. The Dirichlet Problem on Ends

    • Teruo Ikegami

    Pages 131-136

19. Diffusion Kernels of Logarithmic Type

    • Masayuki ItÔ

    Pages 137-146

20. A Remark on Capacitary Measures for Diffusion Processes

    • Mamoru Kanda

    Pages 147-152

Within the tradition of meetings devoted to potential theory, a conference on potential theory took place in Prague on 19-24, July 1987. The Conference was organized by the Faculty of Mathematics and Physics, Charles University, with the collaboration of the Institute of Mathematics, Czechoslovak Academy of Sciences, the Department of Mathematics, Czech University of Technology, the Union of Czechoslovak Mathematicians and Physicists, the Czechoslovak Scientific and Technical Society, and supported by IMU. During the Conference, 69 scientific communications from different branches of potential theory were presented; the majority of them are in­ cluded in the present volume. (Papers based on survey lectures delivered at the Conference, its program as well as a collection of problems from potential theory will appear in a special volume of the Lecture Notes Series published by Springer-Verlag). Topics of these communications truly reflect the vast scope of contemporary potential theory. Some contributions deal with applications in physics and engineering, other concern potential­ theoretic aspects of function theory and complex analysis. Numerous papers are devoted to the theory of partial differential equations. Included are also many articles on axiomatic and abstract potential theory with its relations to probability theory. The present volume may thus be of intrest to mathematicians speciali­ zing in the above-mentioned fields and also to everybody interested in the present state of potential theory as a whole.

• Convexity
• algebra
• differential equation
• extrema
• logarithm
• modelling
• probability
• society
• technology

• Czechoslovak Academy of Sciences, Prague, Czechoslovakia

  Josef Král

• Charles University, Prague, Czechoslovakia

  Jaroslav Lukeš, Ivan Netuka, Jiří Veselý

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