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Charaterisation of function spaces via mollification; fractal quantities for distributions

Journal of Function Spaces, Volume 1, Issue 1, Page 75-89, 2003., 2003
The aim of this paper is twofold. First we characterise elements f belonging to the Besov spaces Bpqs(ℝn) with s ∈ ℝ, 0 < p ≤ ∞, 0 < q ≤ ∞, in terms of their mollifications. Secondly we use these results to study multifractal quantities for distributions generalising well‐known corresponding quantities for Radon measures.
Hans Triebel
wiley   +1 more source