On the distribution of harmonic measure on simply connected planar domains

Dimitrios Betsakos, Alexander Yu Solynin

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)145-151
Number of pages7
JournalJournal of the Australian Mathematical Society
Volume75
Issue number2
DOIs
StatePublished - Oct 2003

Keywords

  • Harmonic measure

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