The net measure properties of symmetric Cantor sets and their applications

Progress in Natural Science

Volumn 7, Issue 2, 1997, Pages 177-178

  Feng, Dejun ^a   Rao, Hui ^a   Wu, Jun ^a  

^a WUHAN UNIVERSITY   (China)

Author keywords

Hausdorff dimension; Hausdorff measure; Net measure; Symmetric cantor sets

Indexed keywords

TOPOLOGY;

CANTOR SETS; HAUSDORFF DIMENSION; HAUSDORFF MEASURES; NET MEASURE; ONE-DIMENSIONAL; PROPERTY; SYMMETRIC CANTOR SET; SYMMETRICS;

FRACTALS;

EID: 20944445320     PISSN: 10020071     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (7)

1. Falconer, K. F., Fractal Geometry, John Wiley & Sons, 1990.
2. Hua Su, Some studies on dimensions of generalized self-similar sets, Acta Appl. Math. (in Chinese), 1994, 17(4): 551.
3. Peyrière, J., Calcul de dimension de Hausdorff, Duke Math. J., 1977, 44:591.
4. Peyrière, J., Comparaison de deux notions de dimension, Bull Soc Math France, 1986, 114:97.
5. Kahane, J. P., Salem, S., EmsembleParfaits et Séries Trigonométriques, Paris:Hermann, 1963.
6. Lee, H. H., Park, C. Y., Hausdorff dimension of symmetric Cantor sets, Kyungpook Math. J., 1988, 28:141.
7. Moorthy, C. G., Vijaya, R., Venkatachalapathy, P., Hausdorff dimensions of Cantor-like sets, Kyungpook Math. J., 1992, 32: 197.