DOUBLING CONDITIONS FOR HARMONIC MEASURE IN JOHN DOMAINS
Autor: | Aikawa, Hiroaki, Hirata, Kentaro |
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Jazyk: | angličtina |
Rok vydání: | 2006 |
Předmět: | |
Zdroj: | Hokkaido University Preprint Series in Mathematics. 796:1-12 |
Popis: | 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. |
Databáze: | OpenAIRE |
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