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On the Littlewood-Paley function $g^*$ of multiple Fourier integrals and Hankel multiplier transformations

✍ Scribed by Sunouchi, Gen-ichirô

Book ID
121883175
Publisher
Mathematical Institute of Tohoku University
Year
1967
Tongue
English
Weight
653 KB
Volume
19
Category
Article
ISSN
0040-8735

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We find in this paper the equimeasurable hulls and kernels of some function classes on a locally compact abelian group. These classes consist of all functions for which the Fourier transform belongs to a given Lorentz space on the dual group. Different special cases of the problems considered in thi