International Workshop on Potential Theory 2009

Contents

Program

Tuesday, September 1
10:00-10:15 Registration and Opening
10:15-10:45 Hidenobu Yoshida
Sets of determination for harmonic functions in an abstract harmonic space
11:00-11:30 Mitsuru Nakai
Capacity versus harmonic measure on Royden harmonic boundary
14:00-14:30 Sachiko Hamano
Variation formulas for principal functions (II)
14:45-15:15 Kentaro Hirata
Upper and lower estimates for parabolic Green functions in Lipschitz domains
15:30-16:00 Takayori Ono
Removable sets for continuous solutions of quasilinear elliptic equations with lower order terms
Wednesday, September 2
10:00-11:00 Stanislav Hencl
Sobolev homeomorphisms and nonnegativity of the jacobian
11:10-11:40 Hiroaki Masaoka
Hardy-Orlicz space for harmonic functions and the class of bounded harmonic funcions on a Riemann surface
11:50-12:20 Yôsuke Hishikawa
Atomic decompositions on parabolic Bergman spaces
14:00-15:00 Kaj Nyströ:m
Regularity and Free Boundary Regularity for the p-Laplace Operator in Reifenberg Flat and Ahlfors Regular Domains
15:20-15:50 Takao Ohno
Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponent
16:00-16:30 Tetsu Shimomura
Sobolev inequalities in variable exponent Orlicz spaces
16:40-17:10 Hayato Nakagawa
Carleson inequality on α-parabolic Hardy spaces
Thursday, September 3
10:00-11:00 Jeremy T. Tyson
Dimension estimates for exceptional sets of Euclidean and sub-Riemannian fractals
11:10-11:40 Masaharu Nishio
Toeplitz operators of Schatten class of small exponent on the parabolic Bergman space
11:50-12:20 Takeo Ohsawa
Bergman kernel and asymptotic geometry
14:00-15:00 Henrik Shahgholian
A two phase free boundary problem with applications in Potential Theory
15:20-15:50 Yoshihiro Mizuta
Hardy’s inequality in Orlicz-Sobolev spaces of variable exponent
16:00-16:30 Fumi-Yuki Maeda
Some Lp(・)(log L)q(・)-norm inequalities involving convolution potentials
16:40-17:10 Jun Kigami
Dirichlet forms on the Cantor sets as the traces on the Martin boundary of Random walks on trees
18:00-20:00 Banquet
Friday, September 4
10:00-11:00 Eero Saksman
On Hamilton-Jacobi flows and solutions of Aronsson equations
11:10-11:40 Katsunori Shimomura
Liouville type theorem associate with the wave equation