On certain harmonic measures on the unit disk

ArticleOriginal scientific text

Title

Authors ¹

Department of Mathematics, Washington University, Saint Louis, Missouri 63130, U.S.A.

A. Beurling, The Collected Works of Arne Beurling. Vol. 1, Complex Analysis, L. Carleson et al. (eds.), Birkhäuser, 1989.
F. Brock, Continuous Steiner-symmetrization, Math. Nachr. 172 (1995), 25-48.
V. N. Dubinin, Capacities and geometric transformations of subsets in n-space, Geom. Funct. Anal. 3 (1993), 342-369.
M. Essèn and K. Haliste, On Beurling's theorem for harmonic measure and the rings of Saturn, Complex Variables Theory Appl. 12 (1989), 137-152.
J. L. Fernandez, J. Heinonen and O. Martio, Quasilines and conformal mappings, J. Anal. Math. 52 (1989), 117-132.
B. Kawohl, Rearrangements and Convexity of Level Sets in PDE, Lecture Notes in Math. 1150, Springer, 1985.
R. Nevanlinna, Analytic Functions, Springer, 1970 (first ed. 1936).
M. Ohtsuka, Dirichlet Problem, Extremal Length and Prime Ends, Van Nostrand, 1970.
B. Øksendal, Projection estimates for harmonic measure, Ark. Mat. 21 (1983), 191-203.
S. Segawa, Martin boundaries of Denjoy domains, Proc. Amer. Math Soc. 103 (1988), 177-183.
P. M. Tamrazov, Condenser capacities. A method of intermixing loads, Mat. Sb. 115 (1981), 40-73 (in Russian); English transl.: Math. USSR-Sb. 43 (1982), 33-62.
L. I. Volkovyskiĭ, G. L. Lunts and I. G. Aramanovich, A Collection of Problems on Complex Analysis, Dover, 1991.