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

  • Mohamed Moussa
DOI: https://doi.org/10.5209/rev_REMA.2004.v17.n2.16741
Keywords: Besov spaces, Calder´ on-Zygmund classes, critical indexes, Haussdorff di mension, multifractal functions

Abstract

We show that the functions in L2 (Rn ) given by the sum of infinitely sparse wavelet expansions are regular, i.e. belong to CL2 (x0 ), for all x0 Rn which is outside a set of vanishing Hausdorff dimension.

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Published
2004-01-01
How to Cite
Moussa M. (2004). On the L2-pointwise Regularity of Functions in Critical Besov Spaces. Revista Matemática Complutense, 17(2), 403-409. https://doi.org/10.5209/rev_REMA.2004.v17.n2.16741
Issue
Vol. 17 No. 2 (2004)
Section
Articles

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