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Abstract:

In this paper we consider a class of symmetric Cantor sets in R. Under certain separation condition we determine the exact packing measure of such a Cantor set through the computation of the lower density of the uniform probability measure supported on the set. With an additional restriction on the dimension we give also the exact centered Hausdorff measure by computing the upper density. © 2011 Elsevier Inc.

Registro:

Documento: Artículo
Título:Exact packing measure of central Cantor sets in the line
Autor:Garcia, I.; Zuberman, L.
Filiación:Departamento de Matemática, Universidad Nacional de Mar del Plata, Argentina
Departamento de Matemática, FCEN, Universidad de Buenos Aires, Argentina
Palabras clave:Cantor set; Hausdorff measure; Packing measure; Upper and lower density
Año:2012
Volumen:386
Número:2
Página de inicio:801
Página de fin:812
DOI: http://dx.doi.org/10.1016/j.jmaa.2011.08.044
Título revista:Journal of Mathematical Analysis and Applications
Título revista abreviado:J. Math. Anal. Appl.
ISSN:0022247X
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v386_n2_p801_Garcia.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v386_n2_p801_Garcia

Referencias:

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Citas:

---------- APA ----------
Garcia, I. & Zuberman, L. (2012) . Exact packing measure of central Cantor sets in the line. Journal of Mathematical Analysis and Applications, 386(2), 801-812.
http://dx.doi.org/10.1016/j.jmaa.2011.08.044
---------- CHICAGO ----------
Garcia, I., Zuberman, L. "Exact packing measure of central Cantor sets in the line" . Journal of Mathematical Analysis and Applications 386, no. 2 (2012) : 801-812.
http://dx.doi.org/10.1016/j.jmaa.2011.08.044
---------- MLA ----------
Garcia, I., Zuberman, L. "Exact packing measure of central Cantor sets in the line" . Journal of Mathematical Analysis and Applications, vol. 386, no. 2, 2012, pp. 801-812.
http://dx.doi.org/10.1016/j.jmaa.2011.08.044
---------- VANCOUVER ----------
Garcia, I., Zuberman, L. Exact packing measure of central Cantor sets in the line. J. Math. Anal. Appl. 2012;386(2):801-812.
http://dx.doi.org/10.1016/j.jmaa.2011.08.044