Operating functions on Fourier multipliers

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概要

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• We consider the algebra of translation invariant operators of L<SUP>p</SUP>(T) to L<SUP>q</SUP>(T). If 1≤p<q≤∞, the spectrum of such an operator coincides with the closure of the range of the corresponding multiplier. Furthermore, if p≤2<q, the operating functions on the algebra of multipliers are characterized.

• 東北大学の論文

著者

• Igari Satoru

  Mathematical Institute Faculty Of Science Tohoku University

• Sato Enji

  Department of Mathematics, Faculty of Science, Yamagata University

• Sato Enji

  Department Of Mathematics Faculty Of Science Yamagata University

• Sato Enji

  Department Of Mathematical Sciences Faculty Of Science Yamagata University

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