On certain harmonic measures on the unit disk

Dimitrios Betsakos

Colloquium Mathematicae (1997)

  • Volume: 73, Issue: 2, page 221-228
  • ISSN: 0010-1354

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Betsakos, Dimitrios. "On certain harmonic measures on the unit disk." Colloquium Mathematicae 73.2 (1997): 221-228. <http://eudml.org/doc/210487>.

@article{Betsakos1997,
author = {Betsakos, Dimitrios},
journal = {Colloquium Mathematicae},
keywords = {harmonic measure; projection theorems},
language = {eng},
number = {2},
pages = {221-228},
title = {On certain harmonic measures on the unit disk},
url = {http://eudml.org/doc/210487},
volume = {73},
year = {1997},
}

TY - JOUR
AU - Betsakos, Dimitrios
TI - On certain harmonic measures on the unit disk
JO - Colloquium Mathematicae
PY - 1997
VL - 73
IS - 2
SP - 221
EP - 228
LA - eng
KW - harmonic measure; projection theorems
UR - http://eudml.org/doc/210487
ER -

References

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  1. [1] A. Beurling, The Collected Works of Arne Beurling. Vol. 1, Complex Analysis, L. Carleson et al. (eds.), Birkhäuser, 1989. Zbl0732.01042
  2. [2] F. Brock, Continuous Steiner-symmetrization, Math. Nachr. 172 (1995), 25-48. Zbl0886.49010
  3. [3] V. N. Dubinin, Capacities and geometric transformations of subsets in n-space, Geom. Funct. Anal. 3 (1993), 342-369. Zbl0787.31010
  4. [4] 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. 
  5. [5] J. L. Fernandez, J. Heinonen and O. Martio, Quasilines and conformal mappings, J. Anal. Math. 52 (1989), 117-132. Zbl0677.30012
  6. [6] B. Kawohl, Rearrangements and Convexity of Level Sets in PDE, Lecture Notes in Math. 1150, Springer, 1985. Zbl0593.35002
  7. [7] R. Nevanlinna, Analytic Functions, Springer, 1970 (first ed. 1936). Zbl0199.12501
  8. [8] M. Ohtsuka, Dirichlet Problem, Extremal Length and Prime Ends, Van Nostrand, 1970. 
  9. [9] B. Øksendal, Projection estimates for harmonic measure, Ark. Mat. 21 (1983), 191-203. Zbl0537.31002
  10. [10] S. Segawa, Martin boundaries of Denjoy domains, Proc. Amer. Math Soc. 103 (1988), 177-183. Zbl0644.30026
  11. [11] 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. Zbl0458.31007
  12. [12] L. I. Volkovyskiĭ, G. L. Lunts and I. G. Aramanovich, A Collection of Problems on Complex Analysis, Dover, 1991. 

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