Intrinsic characterizations of distribution spaces on domains

Rychkov, V.

Studia Mathematica, Tome 129 (1998), p. 277-298 / Harvested from The Polish Digital Mathematics Library

Résumé

We give characterizations of Besov and Triebel-Lizorkin spaces $B_{pq}^{s}(Ω)$ and $F_{pq}^s(Ω)$ in smooth domains $Ω ⊂ ℝ^n$ via convolutions with compactly supported smooth kernels satisfying some moment conditions. The results for s ∈ ℝ, 0 < p,q ≤ ∞ are stated in terms of the mixed norm of a certain maximal function of a distribution. For s ∈ ℝ, 1 ≤ p ≤ ∞, 0 < q ≤ ∞ characterizations without use of maximal functions are also obtained.

Détail

Publié le : 1998-01-01

Zbl 0919.46025

EUDML-ID : urn:eudml:doc:216472

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