Two-Point Projection Estimates for Harmonic Measure |
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Authors: | Betsakos Dimitrios |
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Institution: | Department of Mathematics, Aristotle University of Thessaloniki GR-54124 Thessaloniki, Greece; betsakos{at}auth.gr |
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Abstract: | A theorem of Beurling and Nevanlinna gives a lower bound forthe harmonic measure of a compact set in the unit disk in termsof the harmonic measure of a projection of the set. In thispaper, a generalization of that result is proved, involvingthe sum of harmonic measures evaluated at two points. 2000 MathematicsSubject Classification 30C85, 31A15 (primary). |
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