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

Bui, H.-Q.; Palusynski, M.; Taibleson, M. H.

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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

Collections

Engineering: Reports [692]

Rights

http://library.canterbury.ac.nz/thesis/etheses_copyright.shtml