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TWO-POINT PROJECTION ESTIMATES FOR HARMONIC MEASURE

Published online by Cambridge University Press:  09 June 2003

DIMITRIOS BETSAKOS
DIMITRIOS BETSAKOS
Affiliation:
Department of Mathematics, Aristotle University of Thessaloniki, GR-54124 Thessaloniki, Greecebetsakos@auth.gr
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Abstract

A theorem of Beurling and Nevanlinna gives a lower bound for the harmonic measure of a compact set in the unit disk in terms of the harmonic measure of a projection of the set. In this paper, a generalization of that result is proved, involving the sum of harmonic measures evaluated at two points.

Keywords

30C8531A15 (primary)
Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 4 , July 2003 , pp. 473 - 478
Copyright
© The London Mathematical Society 2003

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