Intrinsic characterizations of distribution spaces on domains

• Autorzy: V. S. Rychkov
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Besov spaces; Triebel-Lizorkin spaces; spaces on domains; intrinsic characterizations; local means; maximal functions

Kategorie tematyczne

• 42B25: Maximal functions, Littlewood-Paley theory
• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 127
• Numer: 3
• Strony: 277-298

Daty

wydano

1998

otrzymano

1997-02-03

poprawiono

1997-09-29

Twórcy

autor

V. S. Rychkov

• Mathematisches Institut, Friedrich-Schiller-Universität Jena, Ernst-Abbe-Platz 1-4, 07743 Jena, Germany

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