Arkiv för Matematik

, Volume 31, Issue 1, pp 137–172

Plane harmonic measures live on sets of σ-finite length

  • Thomas H. Wolff
Article

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References

  1. 1.
    Ahlfors, L.,Conformal Invariants: Topics in Geometric Function Theory, McGraw-Hill, New York, 1973.MATHGoogle Scholar
  2. 2.
    Ancona, A., Démonstration d'une conjecture sur la capacité et l'effilement,C. R. Acad. Sci. Paris Sér I Math. 297 (1983), 393–395.MathSciNetMATHGoogle Scholar
  3. 3.
    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.MathSciNetMATHGoogle Scholar
  4. 4.
    Jones, P. andWolff, T., Hausdorff dimension of harmonic measures in the plane, I, unpublished manuscript, 1986.Google Scholar
  5. 5.
    Jones, P. andWolff, T., Hausdorff dimension of harmonic measures in the plane,Acta Math. 161 (1988), 131–144.CrossRefMathSciNetMATHGoogle Scholar
  6. 6.
    Makarov, N., Distortion of boundary sets under conformal mappings,Proc. London Math Soc. 51 (1985), no. 3, 369–384.MathSciNetMATHGoogle Scholar
  7. 7.
    Pommerenke, C., On conformal mapping and linear measure,J. Analyse Math. 46 (1986), 231–238.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Institut Mittag-Leffler 1993

Authors and Affiliations

  • Thomas H. Wolff
    • 1
  1. 1.Department of Mathematics Evans HallUniversity of California, BerkeleyBerkeleyUSA

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