Results 21 to 22 of about 22 (22)

Singular integrals and potentials in some Banach function spaces with variable exponent

Journal of Function Spaces, Volume 1, Issue 1, Page 45-59, 2003., 2003
We introduce a new Banach function space ‐ a Lorentz type space with variable exponent. In this space the boundedness of singular integral and potential type operators is established, including the weighted case. The variable exponent p(t) is assumed to satisfy the logarithmic Dini condition and the exponent β of the power weight ω(t) = |t|β is related
Vakhtang Kokilashvili, Stefan Samko
wiley   +1 more source

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