The question on multipliers in L1 and C

The connection between Belinsky–Dveyrin–Malamud’s theorem on multipliers and some other known theorems on multipliers in the spaces L 1 and C is clarified. It is shown that Belinsky–Dveyrin–Malamud’s theorem can be obtained from them. The relevant examples of multipliers in the spaces L 1 and C indi...

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 174; no. 4
Main Author Dveyrin, Mikhail Z.
Format Journal Article
LanguageEnglish
Published Boston Springer US 2011
Subjects
Mathematics
Mathematics and Statistics
summability of the Fourier transformation
Fourier transformation
Multiplier
space
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Summary:The connection between Belinsky–Dveyrin–Malamud’s theorem on multipliers and some other known theorems on multipliers in the spaces L 1 and C is clarified. It is shown that Belinsky–Dveyrin–Malamud’s theorem can be obtained from them. The relevant examples of multipliers in the spaces L 1 and C indicating the nonequivalence of the compared theorems are presented.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-011-0311-0