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Multipliers of Fourier transforms and embedding theorems in spaces of functionals

✍ Scribed by V. M. Kokilashvili

Publisher: SP MAIK Nauka/Interperiodica
Year: 1976
Tongue: English
Weight: 234 KB
Volume: 20
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01098910

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## Abstract A general summability method is considered for functions from Herz spaces __K__^α^~__p,r__~ (ℝ^__d__^ ). The boundedness of the Hardy–Littlewood maximal operator on Herz spaces is proved in some critical cases. This implies that the maximal operator of the __θ__ ‐means __σ__^__θ__^ ~__