Exact packing measure of central Cantor sets in the line
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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| Autores principales: | , |
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| Formato: | Artículo publishedVersion |
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2012
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0022247X_v386_n2_p801_Garcia https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v386_n2_p801_Garcia_oai |
| Aporte de: |
| 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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