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

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Author
Bui, H.-Q.
Palusynski, M.
Taibleson, M. H.
Date
1994
Permanent Link
http://hdl.handle.net/10092/11215
Degree Grantor
University of Canterbury
Degree Name
Research report

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 certain maximal function of a distribution in these weighted spaces.

Subjects
Field of Research::01 - Mathematical Sciences::0101 - Pure Mathematics::010108 - Operator Algebras and Functional Analysis
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