Artículo
Cabrelli, C.; Mendivil, F.; Molter, U.M.; Shonkwiler, R. "On the hausdorff h-measure of cantor sets" (2004) Pacific Journal of Mathematics. 217(1):45-59
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Abstract:
We estimate the Hausdorff measure and dimension of Cantor sets in terms of a sequence given by the lengths of the bounded complementary intervals. The results provide the relation between the decay rate of this sequence and the dimension of the associated Cantor set. It is well-known that not every Cantor set on the line is an s-set for some 0 ≤ s ≤ 1. However, if the sequence associated to the Cantor set C is nonincreasing, we show that C is an h-set for some continuous, concave dimension function h. We construct the function h from the sequence associated to the set C.
Registro:
| Documento: | Artículo |
| Título: | On the hausdorff h-measure of cantor sets |
| Autor: | Cabrelli, C.; Mendivil, F.; Molter, U.M.; Shonkwiler, R. |
| Filiación: | Departamento de Matemática, Fac. de Ciencias Exactas y Naturales, Ciuded Universitaria, Pabellón I, 1428 Capital Federal, Argentina CONICET, Argentina Department of Mathematics, Acadia University, Wolfville, NS B4P 2R6, Canada School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332, United States |
| Año: | 2004 |
| Volumen: | 217 |
| Número: | 1 |
| Página de inicio: | 45 |
| Página de fin: | 59 |
| DOI: | http://dx.doi.org/10.2140/pjm.2004.217.45 |
| Título revista: | Pacific Journal of Mathematics |
| Título revista abreviado: | Pac. J. Math. |
| ISSN: | 00308730 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00308730_v217_n1_p45_Cabrelli |
Referencias:
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Citas:
---------- APA ----------
Cabrelli, C., Mendivil, F., Molter, U.M. & Shonkwiler, R. (2004) . On the hausdorff h-measure of cantor sets. Pacific Journal of Mathematics, 217(1), 45-59.http://dx.doi.org/10.2140/pjm.2004.217.45
---------- CHICAGO ----------
Cabrelli, C., Mendivil, F., Molter, U.M., Shonkwiler, R. "On the hausdorff h-measure of cantor sets" . Pacific Journal of Mathematics 217, no. 1 (2004) : 45-59.http://dx.doi.org/10.2140/pjm.2004.217.45
---------- MLA ----------
Cabrelli, C., Mendivil, F., Molter, U.M., Shonkwiler, R. "On the hausdorff h-measure of cantor sets" . Pacific Journal of Mathematics, vol. 217, no. 1, 2004, pp. 45-59.http://dx.doi.org/10.2140/pjm.2004.217.45
---------- VANCOUVER ----------
Cabrelli, C., Mendivil, F., Molter, U.M., Shonkwiler, R. On the hausdorff h-measure of cantor sets. Pac. J. Math. 2004;217(1):45-59.http://dx.doi.org/10.2140/pjm.2004.217.45
