4.4 Article

Characterisations of function spaces of generalised smoothness

Journal

ANNALI DI MATEMATICA PURA ED APPLICATA
Volume 185, Issue 1, Pages 1-62

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s10231-004-0110-z

Keywords

function space; maximal function; local means; atomic decompositions

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We investigate function spaces of generalised smoothness of Besov and Triebel-Lizorkin type. Equivalent quasi-norms in terms of maximal functions and local means are given. An atomic decomposition theorem for this type of spaces is proved.

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