PDE Seminar Strong doubling condition for harmonic measure

2006-05-22 16:30 - 2006-05-22 17:30
Faculty of Science Building #8 Room 309
Kentaro Hirata (Hokkaido Univ.)
Under the capacity density condition(CDC), it is known that the doublingcondition for harmonic measure holds on uniform domains, but not on Johndomains.As an intermediate domain between them, we introduce a semi-uniform domain.Under the CDC, we shall show that the harmonic measure of a John domain $D$satisfies the strong doubling condition if and only if $D$ is a semi-uniformdomain.