2024-03-29T16:02:59Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/696042022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116DOUBLING CONDITIONS FOR HARMONIC MEASURE IN JOHN DOMAINSAikawa, HiroakiHirata, Kentaroopen accessJohn domainsemi-uniform domaininner semi-uniform domainharmonic measuredoubling conditioncapacity density condition410We 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.Department of Mathematics, Hokkaido University2006engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83946http://hdl.handle.net/2115/6960410.14943/83946Hokkaido University Preprint Series in Mathematics796112https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69604/1/pre796.pdfapplication/pdf121.75 KB2006