Box dimension, oscillation and smoothness in function spaces

The aim of this paper is twofold. First we relate upper and lower box dimensions with oscillation spaces, and we develop embeddings or inclusions between oscillation spaces and Besov spaces. Secondly, given a point in the (1p, s)-plane we determine maximal and minimal values for the upper box dimens...

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Bibliographic Details
Main Author: Abel Carvalho
Format: Article
Language:English
Published: Wiley 2005-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2005/405979
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