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Generalization of a theorem of Marcinkiewicz-Zygmund

✍ Scribed by K. V. Runovskii


Publisher
SP MAIK Nauka/Interperiodica
Year
1995
Tongue
English
Weight
161 KB
Volume
57
Category
Article
ISSN
0001-4346

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πŸ“œ SIMILAR VOLUMES


A Generalization for Fourier Transforms
✍ Ferenc Weisz πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 143 KB

It is shown that the maximal operator of the Marcinkiewicz means of a tempered Ε½ 2 . Ε½ 2 . distribution is bounded from H R to L R for all pp F Ο± and, consep p 0 Ε½ . 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