On certain harmonic measures on the unit disk

Dimitrios Betsakos

Colloquium Mathematicae (1997)

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

How to cite

top

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

top
  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. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.