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An application of Chen’s theorem to convergence of Fourier multiplier transforms

✍ Scribed by Shi, Xian-liang; Chen, Yang; Hu, Lan

Book ID
121588452
Publisher
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
Year
2013
Tongue
English
Weight
174 KB
Volume
28
Category
Article
ISSN
1005-1031

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📜 SIMILAR VOLUMES

A Generalization for Fourier Transforms
A Generalization for Fourier Transforms of a Theorem due to Marcinkiewicz
✍ Ferenc Weisz 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 143 KB

It is shown that the maximal operator of the Marcinkiewicz means of a tempered Ž 2 . Ž 2 . distribution is bounded from H R to L R for all pp F ϱ and, consep p 0 Ž . quently, is of weak type 1, 1 , where p -1. As a consequence we obtain a 0 generalization for Fourier transforms of a summability resu