This volume collects, in written form, eight plenary lectures and twenty-five selected contributions from invited and contributed lectures delivered at the International Workshop on Potential Theory 2004. The workshop was held at Shimane University, Matsue, Japan, from 23 to 28 August, 2004. The topic of the workshop was Potential Theory and its related fields. There were stimulus talks from classical potential theory to pluri-potential theory and probabilistic potential theory.
Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
Contents:
- Radial Limits of Harmonic Functions (S J Gardiner)
- Boundary Regularity for p-Harmonic Functions on Metric Spaces (J Björn)
- Integral Representation for Space-Time Excessive Functions (K Janssen)
- Hölder Continuity of Solutions to Quasilinear Elliptic Equations with Measure Data (T Ono)
- Neumann Eigenfunctions and Brownian Couplings (K Burdzy)
- Representations of Nonnegative Solutions for Parabolic Equations (M Murata)
- On a Decomposition of the Schwartz Class (T Kurokawa)
- Estimates of Maximal Functions by Hausdorff Contents in a Metric Space (H Watanabe)
- Sobolev Embeddings for Variable Exponent Riesz Potentials (T Shimomura)
- Continuity Properties for Weakly Monotone Sobolev Functions (Y Mizuta)
- Some Potential Theoretic Results on an Infinite Network (Premalatha & A K Kalyani)
- and other papers
Readership: Mathematical analysts, probabilists and graduate students.
