An elementary proof of Benedicks’s and Carleson’s estimates of harmonic measure of linear sets

Mikhail Sodin

Type: Article

Publication Date: 1994-01-01

Citations: 8

DOI: https://doi.org/10.1090/s0002-9939-1994-1189752-0

Abstract

Benedicks and Carleson proved sophisticated estimates of harmonic measure of linear sets which have found applications in approximation theory and harmonic analysis. We give an elementary proof of these estimates. This proof allows us to relax the assumptions and strengthen estimates.

Locations

Proceedings of the American Mathematical Society - View - PDF

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