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

H. -Q. Bui; M. Paluszyński; M. Taibleson

ArticleOriginal scientific text

Title

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

Authors ¹, ², ³

Affiliations

Department of Mathematics & Statistics, University of Canterbury, Christchurch 1, New Zealand
Institute of Mathematics, University of Wrocław, 50-384 Wrocław, Poland
Department of Mathematics, Washington University, St. Louis, Missouri 63130, U.S.A.

Abstract

We give characterizations of weighted Besov-Lipschitz and Triebel-Lizorkin spaces with

A_{\infty}

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.

Keywords

ENG

Besov-Lipschitz space, Triebel-Lizorkin space, Littlewood-Paley function, Calderón representation theorem,

A_{\infty}

weight

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Title

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

Affiliations

Abstract

Keywords

Bibliography