On the Hausdorff Dimension of Continuous Functions Belonging to Hölder and Besov Spaces on Fractal d-Sets

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 the...

Full description

Bibliographic Details
Main Author: Carvalho, A. (author)
Other Authors: Caetano, A. (author)
Format: article
Language:eng
Published: 2012
Subjects:
Besov spaces
Box counting dimension
Continuous functions
d-Sets
Fractals
Hausdorff dimension
Hölder spaces
Wavelets
Weierstrass function
Online Access:http://hdl.handle.net/10773/5559
Country:Portugal
Oai:oai:ria.ua.pt:10773/5559

Internet

http://hdl.handle.net/10773/5559

Similar Items