On the pointwise regularity of functions in critical Besov spaces. (English) Zbl 0968.46023
Authors’ 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.
Reviewer: Josef Wloka (Kiel)
MSC:
| 46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |
Keywords:
critical indexes; Hölder regularity; spectrum of singularities; fractal sets; Hausdorff dimension; multifractal functions; Baire categories; Besov spacesReferences:
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