References
L. Carleson.On the support of harmonic measure for sets of Cantor type, Ann. Acad. Sci. Fenn.10 (1985). 113–123.
E. Hewitt and K. Stromberg.Real and Abstract Analysis, Springer-Verlag, Berlin-Heidelberg-New York, 1969.
B. Øxendal,Null sels for measures orthogonal to R(X), Amer. J. Math.94 (1972), 331–342.
B. Øxendal,Brownian motion and sets of harmonic measure zero. Pacific J. Math.95 (1981), 179–192.
N. G. Makarov,On the distortion of boundary sets under conformal mapping. Proc. London Math. Soc. (3),51 (1985), 369–384.
N. G. Makarov,Defining subsets, the support of harmonic measure, and perturbations of the spectra of operators in Hilbert space, Soviet Math. Dokl.29 (1984), 103–106.
J. E. McMillan,Boundary behavior of a conformal mapping, Acta Math.123 (1969), 43–67.
J. E. McMillan and G. Piranian.Compression and expansion of boundary sets. Duke Math. J.40 (1973), 599–605.
Ch. Pommerenke,Univalent Functions, Vandenhoeck & Ruprecht, Göttingen, 1975.
Ch. Pommerenke,On the angular derivative and univalence. Anal. Math.3 (1977), 291–297.
C. A. Rogers,Hausdorff Measures, Cambridge Univ. Press, 1970.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pommerenke, C. On conformal mapping and linear measure. J. Anal. Math. 46, 231–238 (1986). https://doi.org/10.1007/BF02796587
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02796587