Exact packing measure of central Cantor sets in the line

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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...

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Detalles Bibliográficos
Autores principales: Garcia, I., Zuberman, L.
Formato: JOUR
Materias:
Cantor set
Hausdorff measure
Packing measure
Upper and lower density
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v386_n2_p801_Garcia
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
Descripción
Sumario: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.

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