An elementary proof of benedicks’s and carleson’s estimates of harmonic measure of linear sets

Mikhail Sodin

doi:10.1090/S0002-9939-1994-1189752-0

An elementary proof of benedicks’s and carleson’s estimates of harmonic measure of linear sets

Mikhail Sodin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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.

Original language	English
Pages (from-to)	1079-1085
Number of pages	7
Journal	Proceedings of the American Mathematical Society
Volume	121
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1994-1189752-0
State	Published - Aug 1994
Externally published	Yes

Keywords

Capacity
Harmonic measure
Positive harmonic function in half-plane

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10.1090/S0002-9939-1994-1189752-0

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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.",

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year = "1994",

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KW - Capacity

KW - Harmonic measure

KW - Positive harmonic function in half-plane

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An elementary proof of benedicks’s and carleson’s estimates of harmonic measure of linear sets

Abstract

Keywords

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