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http://hdl.handle.net/10773/5559
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Carvalho, A. | pt |
dc.contributor.author | Caetano, A. | pt |
dc.date.accessioned | 2012-01-27T16:45:18Z | - |
dc.date.available | 2012-01-27T16:45:18Z | - |
dc.date.issued | 2011 | - |
dc.identifier.issn | 1069-5869 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/5559 | - |
dc.description.abstract | The Hausdorff dimension of the graphs of the functions in Hölder and Besov spaces (in this case with integrability p≥1) on fractal d-sets is studied. Denoting by s in (0,1] the smoothness parameter, the sharp upper bound min{d+1-s, d/s} is obtained. In particular, when passing from d≥s to d<s there is a change of behaviour from d+1-s to d/s which implies that even highly nonsmooth functions defined on cubes in ℝn have not so rough graphs when restricted to, say, rarefied fractals. © 2011 Springer Science+Business Media, LLC. | pt |
dc.language.iso | eng | pt |
dc.publisher | Springer | pt |
dc.relation | dx.doi.org/10.1007/s00041-011-9202-5 | pt |
dc.relation.uri | http://www.scopus.com/inward/record.url?eid=2-s2.0-80054971095&partnerID=40&md5=54cc836ca9ab2d174f99d0ef49979f1a | |
dc.rights | openAccess | por |
dc.subject | Besov spaces | pt |
dc.subject | Box counting dimension | pt |
dc.subject | Continuous functions | pt |
dc.subject | d-Sets | pt |
dc.subject | Fractals | pt |
dc.subject | Hausdorff dimension | pt |
dc.subject | Hölder spaces | pt |
dc.subject | Wavelets | pt |
dc.subject | Weierstrass function | pt |
dc.title | On the Hausdorff Dimension of Continuous Functions Belonging to Hölder and Besov Spaces on Fractal d-Sets | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 1 | pt |
degois.publication.lastPage | 24 | pt |
degois.publication.title | Journal of Fourier Analysis and Applications | pt |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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11044.pdf | Documento principal | 437.46 kB | Adobe PDF | View/Open |
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