INVESTIGADORES
GARCIA Ignacio Andres
artículos
Título:
Exact packing measure of central Cantor sets in the line
Autor/es:
GARCIA, IGNACIO; ZUBERMAN, LEANDRO
Revista:
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Año: 2012 p. 801 - 812
ISSN:
0022-247X
Resumen:
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