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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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 |
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I28-R145-paper_0022247X_v386_n2_p801_Garcia_oai2024-08-16 Garcia, I. Zuberman, L. 2012 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. Fil:Zuberman, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_0022247X_v386_n2_p801_Garcia info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Math. Anal. Appl. 2012;386(2):801-812 Cantor set Hausdorff measure Packing measure Upper and lower density Exact packing measure of central Cantor sets in the line info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v386_n2_p801_Garcia_oai |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-145 |
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Repositorio Digital de la Universidad de Buenos Aires (UBA) |
| topic |
Cantor set Hausdorff measure Packing measure Upper and lower density |
| spellingShingle |
Cantor set Hausdorff measure Packing measure Upper and lower density Garcia, I. Zuberman, L. Exact packing measure of central Cantor sets in the line |
| topic_facet |
Cantor set Hausdorff measure Packing measure Upper and lower density |
| description |
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. |
| format |
Artículo Artículo publishedVersion |
| author |
Garcia, I. Zuberman, L. |
| author_facet |
Garcia, I. Zuberman, L. |
| author_sort |
Garcia, I. |
| title |
Exact packing measure of central Cantor sets in the line |
| title_short |
Exact packing measure of central Cantor sets in the line |
| title_full |
Exact packing measure of central Cantor sets in the line |
| title_fullStr |
Exact packing measure of central Cantor sets in the line |
| title_full_unstemmed |
Exact packing measure of central Cantor sets in the line |
| title_sort |
exact packing measure of central cantor sets in the line |
| publishDate |
2012 |
| url |
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 |
| work_keys_str_mv |
AT garciai exactpackingmeasureofcentralcantorsetsintheline AT zubermanl exactpackingmeasureofcentralcantorsetsintheline |
| _version_ |
1809357072932798464 |