Artículo
Hare, K.; Mendivil, F.; Zuberman, L. "Packing and Hausdorffmeasures of cantor sets associated with series" (2015) Real Analysis Exchange. 40(2):421-434
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Abstract:
We study a generalization of Morán's sum sets, obtaining information about the h-Hausdorffand h-packing measures of these sets and certain of their subsets.
Registro:
| Documento: | Artículo |
| Título: | Packing and Hausdorffmeasures of cantor sets associated with series |
| Autor: | Hare, K.; Mendivil, F.; Zuberman, L. |
| Filiación: | Department of Pure Mathematics, University of Waterloo, Waterloo, ON, Canada Department of Mathematics and Statistics, Acadia University, Wolfville, NS, Canada Departamento de Matemática (FCEN), Universidad Nacional de Mar del Plata, Mar del Plata, Buenos Aires, Argentina |
| Palabras clave: | Dimension; Hausdorffmeasure; Packing measure; Sum set |
| Año: | 2015 |
| Volumen: | 40 |
| Número: | 2 |
| Página de inicio: | 421 |
| Página de fin: | 434 |
| Título revista: | Real Analysis Exchange |
| Título revista abreviado: | Real Anal. Exch. |
| ISSN: | 01471937 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01471937_v40_n2_p421_Hare |
Referencias:
- Besicovitch, A.S., Taylor, S.J., On the complementary intervals of a linear closed set of zero Lebesgue measure (1954) J. London Math. Soc, 29, pp. 449-459
- Cabrelli, C., Molter, U., Paulauskas, V., Shonkwiler, R., The Hausdorffdimension of p-Cantor sets (2004) Real Anal. Exchange, 30 (2), pp. 413-433
- Cabrelli, C., Mendivil, F., Molter, U., Shonkwiler, R., On the Hausdorffh-measure of Cantor sets (2004) Pacific J. Math, 217 (1), pp. 45-59
- Cutler, C., The density theorem and Hausdorffinequality for packing mea-sure in general metric spaces (1995) Illinois J. Math, 39 (4), pp. 676-694
- Falconer, K.J., (1986) The Geometry of Fractal Sets, , Cambridge Univ. Press, Cambridge
- Garcia, I., Molter, U., Scotto, R., Dimension functions of Cantor sets (2007) Proc. Amer. Math. Soc, 135 (10), pp. 3151-3161
- Joyce, H., Preiss, D., On the existence of subsets of finite positive packing measure (1995) Mathematika, 42 (1), pp. 15-24
- Larman, D.G., On Hausdorffmeasure in finite-dimensional compact metric spaces (1967) Proc. London Math. Soc, 3 (17), pp. 193-206
- Mattila, P., (1995) Geometry of Sets and Measures in Euclidean Spaces, , Cambridge Univ. Press, Cambridge
- Morán, M., Fractal series (1989) Mathematika, 36 (2), pp. 334-348
- Morán, M., Dimension functions for fractal sets associated to series (1994) Proc. Amer. Math. Soc, 120 (3), pp. 749-754
- Rogers, C.A., (1998) HausdorffMeasures, , Cambridge Univ. Press, Cambridge
- Rudin, W., (1991) Functional Analysis, , 2nd ed., McGraw-Hill, New York
Citas:
---------- APA ----------
Hare, K., Mendivil, F. & Zuberman, L. (2015) . Packing and Hausdorffmeasures of cantor sets associated with series. Real Analysis Exchange, 40(2), 421-434.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01471937_v40_n2_p421_Hare [ ]
---------- CHICAGO ----------
Hare, K., Mendivil, F., Zuberman, L. "Packing and Hausdorffmeasures of cantor sets associated with series" . Real Analysis Exchange 40, no. 2 (2015) : 421-434.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01471937_v40_n2_p421_Hare [ ]
---------- MLA ----------
Hare, K., Mendivil, F., Zuberman, L. "Packing and Hausdorffmeasures of cantor sets associated with series" . Real Analysis Exchange, vol. 40, no. 2, 2015, pp. 421-434.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01471937_v40_n2_p421_Hare [ ]
---------- VANCOUVER ----------
Hare, K., Mendivil, F., Zuberman, L. Packing and Hausdorffmeasures of cantor sets associated with series. Real Anal. Exch. 2015;40(2):421-434.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01471937_v40_n2_p421_Hare [ ]
