Abstract
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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Mathematics Subject Classification (2000)
46E35
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Farkas, W., Leopold, HG. Characterisations of function spaces of generalised smoothness. Annali di Matematica 185, 1–62 (2006). https://doi.org/10.1007/s10231-004-0110-z
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DOI: https://doi.org/10.1007/s10231-004-0110-z