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Harmonic measures on complementary subregions of the disk

 

作者: John Akeroyd,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1998）
卷期: Volume 36, issue 2  

页码: 183-187

 

ISSN:0278-1077

 

年代: 1998

 

DOI:10.1080/17476939808815107

 

出版商: Gordon and Breach Science Publishers

 

关键词: Harmonic measure;Green's function;31A15;31A05

 

数据来源: Taylor

 

摘要:

The author describes those curves Γ inD:= {z: |z| < 1} that have the property thatD|Γ is the disjoint union of two Dirichlet regionsAandBand there exist pointsainAandbinBsuch that ω(.,Aa)|Γ ≡const ω (.,Bb)|Γ ω(;Aa) denotes harmonic measure on ∂Aevaluated ata, and similarly for ω(.Bb).

 

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