A maximal function characterization of weighted Besov-Lipschitz and Triebel-Lizorkin spaces.

• Autorzy: H.-Q. Bui , M. Paluszyński , M. H. Taibleson
• Języki publikacji: EN

Abstrakty

EN

We give characterizations of weighted Besov-Lipschitz and Triebel-Lizorkin spaces with $A_∞$ weights via a smooth kernel which satisfies "minimal" moment and Tauberian conditions. The results are stated in terms of the mixed norm of a certain maximal function of a distribution in these weighted spaces.

Słowa kluczowe

EN

Besov-Lipschitz space; Triebel-Lizorkin space; Littlewood-Paley function; Calderón representation theorem; $A_∞$ weight

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: 1996
• Tom: 119
• Numer: 3
• Strony: 219-246

Daty

wydano

1996

otrzymano

1995-03-27

Twórcy

autor

H.-Q. Bui

• Department of Mathematics & Statistics, University of Canterbury, Christchurch 1, New Zealand

autor

M. Paluszyński

• Institute of Mathematics, University of Wrocław, 50-384 Wrocław, Poland

autor

M. H. Taibleson

• Department of Mathematics, Washington University, St. Louis, Missouri 63130, U.S.A.

Bibliografia

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