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Convergence of Fourier series for functions in the classes of Besov-Lizorkin-Triebel

✍ Scribed by A. P. Petukhov


Publisher
SP MAIK Nauka/Interperiodica
Year
1994
Tongue
English
Weight
349 KB
Volume
56
Category
Article
ISSN
0001-4346

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## Abstract We study the maximal function M__f__(__x__) = sup |__f__(__x__ + __y, t)|__ when Ξ© is a region in the (__y,t__) Ξ© upper half space R and __f(x, t__) is the harmonic extension to R~+~__^N+1^__ of a distribution in the Besov space B^Ξ±^__~p,q~__(R__^N^__) or in the Triebel‐Lizorkin space F