A generalization of Miyachi's theorem

Radouan Daher, Takeshi Kawazoe, Hatem Mejjaoli

研究成果: Article査読

9 被引用数 (Scopus)

抄録

The classical Hardy theorem on R, which asserts f and the Fourier transform of / cannot both be very small, was generalized by Miyachi in terms of L 1 + L∞ and log+-functions. In this paper we generalize Miyachi's theorem for Rd and then for other generalized Fourier transforms such as the Chébli-Trimèche and the Dunkl transforms.

本文言語English
ページ(範囲)551-558
ページ数8
ジャーナルJournal of the Mathematical Society of Japan
61
2
DOI
出版ステータスPublished - 2009 4

ASJC Scopus subject areas

  • Mathematics(all)

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