Geodesic
Intrinsic characterizations of distribution spaces on domains
Studia Mathematica, Tome 127 (1998) no. 3, pp. 277-298

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-127-3-277-298
Keywords: Besov spaces, Triebel-Lizorkin spaces, spaces on domains, intrinsic characterizations, local means, maximal functions

V. S. Rychkov 1

1 
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V. S. Rychkov. Intrinsic characterizations of distribution spaces on domains. Studia Mathematica, Tome 127 (1998) no. 3, pp. 277-298. doi: 10.4064/sm-127-3-277-298

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