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ℓ1-Summability ofd-Dimensional Fourier Transforms

✍ Scribed by Ferenc Weisz

Publisher
Springer
Year
2011
Tongue
English
Weight
916 KB
Volume
34
Category
Article
ISSN
0176-4276

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📜 SIMILAR VOLUMES

Herz spaces and summability of Fourier t
Herz spaces and summability of Fourier transforms
✍ Hans G. Feichtinger; Ferenc Weisz 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 218 KB

## 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__^ ~__