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Harmonic measures
supported on curves
Christopher J. Bishop, Lennart Carleson, John Brady Garnett and Peter Wilcox Jones |
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Vol. 138 (1989), No. 2, 233–236
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Abstract |
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Let Ω1 and Ω2 be two disjoint, simply connected domains in the plane, and let ω1 and ω2 be harmonic measures associated to Ω1 and Ω2. We present necessary and sufficient conditions for ω1 and ω2 to be mutually singular. |
Mathematical Subject Classification 2000
Primary: 30C85
Secondary: 31A15
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Milestones
Received: 1 September 1987
Published: 1 June 1989
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Authors |
| Christopher J. Bishop | |
| Department of Mathematics SUNY Stony Brook University 4-112 Mathematics Building NY 11794 United States |
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| http://www.math.sunysb.edu/~bishop/ | |
| Lennart Carleson | |
| John Brady Garnett | |
| Department of Mathematics University of California Los Angeles CA 90024 United States |
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| Peter Wilcox Jones | |
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