Regular Article
On the Pointwise Regularity of Functions in Critical Besov Spaces

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Abstract

We bound the spectrum of singularities of functions in the critical Besov spaces, and we show that this result is sharp, in the sense that equality in the bounds holds for quasi-every function of the corresponding Besov space.

Keywords

Besov spaces
critical indexes
Hölder regularity
spectrum of singularities
fractal sets
Hausdorff dimension
multifractal functions
Baire categories

Cited by (0)

Communicated by H. Brezis

f1

E-mail: [email protected]

f2

E-mail: [email protected]