Hausdorff measure of p-Cantor sets

Real Analysis Exchange

Volumn 30, Issue 2, 2004, Pages 413-434

  Cabrelli, C ^a   Molter, U ^a   Paulauskas, V ^b   Shonkwiler, R ^c  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b VILNIUS UNIVERSITY   (Lithuania)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Cantor like sets; Hausdorff dimension; Hausdorff measure

Indexed keywords

EID: 85016075915     PISSN: 01471937     EISSN: 19301219     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. A. F. Beardon, On the Hausdorff dimension of general Cantor sets, Proc. Camb. Phil. Soc., 61 (1965), 679-694
2. Yu. Davydov, V. Paulauskas, and A. Račkauskas, More on P-Stable Convex Sets in Banach Spaces, J. of Theor. Probab., 13, No. 1 (2000), 39-64
3. K. Falconer, The Geometry of Fractal Sets, Cambridge University Press, (1985)
4. K. Falconer, Techniques in Fractal Geometry, John Wiley & Sons, (1997)
5. P. Mattila, Geometry of Sets and Measures in Euclidean Spaces. Fractals and Rectifiability, Cambridge Studies in Advanced Mathematics, Vol. 44, Cambridge University Press, (1995)
6. C. A. Rogers, Hausdorff measures, second ed., Cambridge University Press, Cambridge, UK, 1998
7. M. Tsuji, On the capacity of general Cantor sets, J. Math. Soc. Japan, 5 (1953), 235-252