TY - JOUR
T1 - On the distribution of harmonic measure on simply connected planar domains
AU - Betsakos, Dimitrios
AU - Solynin, Alexander Yu
PY - 2003/10
Y1 - 2003/10
N2 - For a simply connected planar domain D with 0 ∈ D and dist(0, ∂ D) = 1, let hD(r) be the harmonic measure of ∂ D ∩ {|z| ≤ r} evaluated at 0. The function hD (r) is the distribution of harmonic measure. It has been studied by B. L. Walden and L. A. Ward. We continue their study and answer some questions raised by them by constructing domains with pre-specified distribution.
AB - For a simply connected planar domain D with 0 ∈ D and dist(0, ∂ D) = 1, let hD(r) be the harmonic measure of ∂ D ∩ {|z| ≤ r} evaluated at 0. The function hD (r) is the distribution of harmonic measure. It has been studied by B. L. Walden and L. A. Ward. We continue their study and answer some questions raised by them by constructing domains with pre-specified distribution.
KW - Harmonic measure
UR - http://www.scopus.com/inward/record.url?scp=0344549838&partnerID=8YFLogxK
U2 - 10.1017/s1446788700003682
DO - 10.1017/s1446788700003682
M3 - Article
AN - SCOPUS:0344549838
VL - 75
SP - 145
EP - 151
JO - Journal of the Australian Mathematical Society
JF - Journal of the Australian Mathematical Society
SN - 1446-7887
IS - 2
ER -