Plane harmonic measures live on sets of σ-finite length

Arkiv för Matematik

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Ahlfors, L.,Conformal Invariants: Topics in Geometric Function Theory, McGraw-Hill, New York, 1973.
MATH Google Scholar
Ancona, A., Démonstration d'une conjecture sur la capacité et l'effilement,C. R. Acad. Sci. Paris Sér I Math. 297 (1983), 393–395.
MathSciNet MATH Google Scholar
Carleson, L., On the support of harmonic measure for sets of Cantor type,Ann. Acad. Sci. Fenn. Ser. A I Math. 10 (1985), 113–123.
MathSciNet MATH Google Scholar
Jones, P. andWolff, T., Hausdorff dimension of harmonic measures in the plane, I, unpublished manuscript, 1986.
Jones, P. andWolff, T., Hausdorff dimension of harmonic measures in the plane,Acta Math. 161 (1988), 131–144.
Article MathSciNet MATH Google Scholar
Makarov, N., Distortion of boundary sets under conformal mappings,Proc. London Math Soc. 51 (1985), no. 3, 369–384.
MathSciNet MATH Google Scholar
Pommerenke, C., On conformal mapping and linear measure,J. Analyse Math. 46 (1986), 231–238.
Article MathSciNet MATH Google Scholar

Department of Mathematics Evans Hall, University of California, Berkeley, 94720, Berkeley, CA, USA
Thomas H. Wolff

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Thomas H. Wolff
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Wolff, T.H. Plane harmonic measures live on sets of σ-finite length. Ark. Mat. 31, 137–172 (1993). https://doi.org/10.1007/BF02559503

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