DOUBLING CONDITIONS FOR HARMONIC MEASURE IN JOHN DOMAINS

• Aikawa Hiroaki

• Hirata Kentaro

Abstract

We introduce new classes of domains, i.e., semi-uniform domains and inner emi-uniform domains. Both of them are intermediate between the class of John domains nd the class of uniform domains. Under the capacity density condition, we show that the armonic measure of a John domain D satisfies certain doubling conditions if and only if is a semi-uniform domain or an inner semi-uniform domain.

Journal

• Hokkaido University Preprint Series in Mathematics

  Hokkaido University Preprint Series in Mathematics 796 1-12, 2006

  Department of Mathematics, Hokkaido University

Keywords

• John domain
• semi-uniform domain
• inner semi-uniform domain
• harmonic measure
• doubling condition
• capacity density condition

Details

• CRID: 1390009224795373696
• NII Article ID: 120006459500
• DOI: 10.14943/83946
• HANDLE: 2115/69604
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles
• Abstract License Flag: Allowed