Advanced Studies in Pure Mathematics 2006; 413 pp; hardcover Volume: 44 ISBN10: 4931469337 ISBN13: 9784931469334 List Price: US$104 Member Price: US$83.20 Order Code: ASPM/44
 This volume collects, in written form, eight plenary lectures and twentyfive 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 August 23 to 28, 2004. The topic of the workshop was potential theory and its related fields. There were stimulus talks from classical potential theory to pluripotential theory and probabilistic potential theory. Volumes in this series are freely available electronically 5 years postpublication. Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS. Readership Graduate students and research mathematicians interested in analysis. Table of Contents  Z. Błocki  The Bergman kernel and pluripotential theory
 K. Burdzy  Neumann eigenfunctions and Brownian couplings
 T. Carroll  Brownian motion and harmonic measure in conic sections
 S. J. Gardiner  Radial limits of harmonic functions
 Y. Guivarc'h  Renewal theorems, products oif random matrices, and toral endomorphisms
 J. OrtegaCerdà  Densities and harmonic measure
 N. Shanmugalingam  Sobolev type spaces on metric measure spaces
 J.M. Wu  Quasisymmetric extension, smoothing and applications
 J. Björn  Wiener criterion for Cheeger \(p\)harmonic functions on metric spaces
 F. Di Biase  On the sharpness of certain approach regions
 T. Futamura and Y. Mizuta  Continuity of weakly monotone Sobolev functions of variable exponent
 K. Hirata  Martin kernels of general domains
 K. Ishizaki and N. Yanagihara  Singular directions of meromorphic solutions of some nonautonomous Schröder equations
 K. Janssen  Integral representation for spacetime excessive functions
 T. Kurokawa  A decomposition of the Schwartz class by a derivative space and its complementary space
 K. Kuwae and M. Takahashi  Kato class functions of Markov processes under ultracontractivity
 E. G. Kwon  A subharmonic Hardy class and Bloch pullback operator norms
 H. Masaoka  Quasiconformal mappings and minimal Martin boundary of \(p\)sheeted unlimited covering surfaces of the once punctered Riemann sphere \(\hat{\mathbb{C}}\setminus\{0\}\) of Heins type
 H. Masaoka and S. Segawa  Hyperbolic Riemann surfaces without unbounded positive harmonic functions
 I. Miyamoto and H. Yosida  On a covering property of rarefied sets at infinity in a cone
 Y. Miyazaki  The \(L^p\) resolvents for elliptic systems of divergence form
 Y. Mizuta and T. Shimomura  Maximal functions, Riesz potentials and Sobolev's inequality in generalized Lebesgue spaces
 M. Murata  Representations of nonnegative solutions for parabolic equations
 M. Nakai  Types of pasting arcs in two sheeted spheres
 M. Nishio, K. Shimomura, and N. Suzuki  \(L^p\)boundedness of Bergman projections for \(\alpha\)parabolic operators
 Y. Okuyama  Vanishing theorem on the pointwise defect of a rational iteration sequence for moving targets
 T. Ono  Hölder continuity of solutions to quasilinear elliptic equations with measure data
 Y. Pinchover  On Davies' conjecture and strong ratio limit properties for the heat kernel
 Premaltha and A. K. Kalyani  Some potential theoretic results of an infinite network
 M. Stoll  The LittlewoodPaley inequalities for HardyOrlicz spaces of harmonic functions on domains in \(\mathbb{R}^n\)
 H. Watanabe  Estimates of maximal functions by Hausdorff contents in a metric space
 M. Yamada  Harmonic conjugates of parabolic Bergman functions
 M. Yanagishita  On the behavior at infinity for nonnegative superharmonic functions in a cone
