Full paper in PDF:
$% M. Moussa, On the L²-pointwise Regularity of Functions in Critical Besov Spaces, Rev. Mat. Complut. 17 (2004), 403–409.%$

On the L²-Pointwise Regularity of Functions in Critical Besov Spaces

We show that the functions in given by the sum of infinitely sparse wavelet expansions are regular, i.e. belong to , for all which is outside a set of vanishing Hausdorff dimension.

Key words: Besov spaces, Calderón-Zygmund classes, critical indexes, Hausdorff dimension, multifractal functions.
2000 Mathematics Subject Classification: 46E35, 46E30.