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[Ba]Baernstein, A., A counterexample concerning integrability of derivatives of conformal mappings,J. Analyse Math. 53 (1989), 253–268.
[B]Beurling, A.,Collected Works,Vol 1,Chapter 1, Birkhäuser, Basel-Boston, 1989.
[BJ]Bishop, Ch. andJones, P. W., A Beurling type estimate on harmonic measure,preprint.
[Br]Brennan, J. E., The integrability of the derivative in conformal mapping,J. London Math. Soc. 18 (1978), 261–272.
[C]Carleson, L., On the distortion of sets on a Jordan curve under conformal mappings,Duke Math. J. 40 (1973), 547–559.
[CJ]Carleson, L. andJones, P. W., On coefficient problems for univalent functions and conformal dimension,Duke Math. J. 66 (1992), 169–206.
[D]Duren, P. L.,Univalent Functions, Springer-Verlag, Berlin-Heidelberg-New York, 1983.
[M1]Makarov, N. G., Conformal mappings and Hausdorff measures,Ark. Mat. 25 (1987), 41–85.
[M2]Makarov, N. G., Probability methods in the theory of conformal mappings,Algebra i Analiz 1:1 (1989), 3–59 (Russian). English transl.:Leningrad Math. J. 1 (1990), 1–56.
[O]Ohtsuka, M.,Dirichlet Problem, Extremal Length and Prime Ends, Van Nostrand, Princeton, N. J., 1970.
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This material is based upon work supported by the National Science Foundation under grant No. DMS-9207071. The US Government has certain rights in this material.
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Carleson, L., Makarov, N.G. Some results connected with Brennan's conjecture. Ark. Mat. 32, 33–62 (1994). https://doi.org/10.1007/BF02559522
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DOI: https://doi.org/10.1007/BF02559522