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The Fourier transform of Herz spaces on certain groups

✍ Scribed by C. W. Onneweer

Publisher: Springer Vienna
Year: 1984
Tongue: English
Weight: 483 KB
Volume: 97
Category: Article
ISSN: 0026-9255
DOI: 10.1007/bf02349628

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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__^ ~__

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