The lower density conjecture for harmonic measure

Journal d'Analyse Mathematique

Volumn 93, Issue , 2004, Pages 237-269

  Choi, Sunhi ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 10044233925     PISSN: 00217670     EISSN: 15658538     Source Type: Journal    
DOI: 10.1007/BF02789309     Document Type: Article

References (12)

1. [BiJo 90] C. Bishop and P. Jones, Harmonic measure and arclength, Ann. Math. 132 (1990), 511-547.
2. 2 estimates and the Schwarzian derivative, J. Analyse Math. 62 (1994), 77-113.
3. [Bis] C. Bishop, Harmonic measure and Hausdorff dimension, in Linear and Complex Analysis Problem Book 3, Part 2, Springer-Verlag, Berlin, 1994, pp. 385-387.
4. [Bis 91] C. Bishop, Some questions concerning Harmonic measure, in Partial Differential Equations with Minimal Smoothness and Applications (B. Dahlberg, E. Fabes, R. Fefferman, D. Jerison, C. Kenig and J. Pipher, eds.), Springer-Verlag, Berlin, 1991.
5. [GaMa] J. Garnett and D. Marshall, Harmonic Measure, Cambridge University Press, to appear.
6. ∞ and singular integrals on chord-arc domains Math. Scand. 50 (1982), 221-247.
7. [Mak 85] N. Makarov, On the distortion of boundary sets under conformal mappings, Proc. London Math. Soc. 51 (1985), 369-384.
8. [Mat 95] P. Mattila, Geometry of Sets and Measures in Euclidean Spaces, Cambridge University Press, 1995.
9. [McM 70] J. E. McMillan, On the boundary correspondence under conformal mapping. Duke Math. J. 37 (1970), 725-739.
10. [Øks 81] B. Øksendal, Brownian motion and sets of harmonic measure zero. Pacific J. Math. 95 (1981), 179-192.
11. [Pom 86] Ch. Pommerenke, On conformal mapping and linear measure, J. Analyse Math. 46 (1986), 231-238.
12. [Pom 91] Ch. Pommerenke, Boundary Behavior of Conformal Maps, Springer-Verlag, Berlin, 1991.