OPERATING FUNCTIONS ON FOURIER MULTIPLIERS

Authors
IGARI S SATO E
Citation
S. Igari et E. Sato, OPERATING FUNCTIONS ON FOURIER MULTIPLIERS, Tohoku Mathematical Journal, 46(3), 1994, pp. 357-366
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Tohoku Mathematical Journal → ACNP
ISSN journal
00408735
Volume
46
Issue
3
Year of publication
1994
Pages
357 - 366
Database
ISI
SICI code
0040-8735(1994)46:3<357:OFOFM>2.0.ZU;2-N
Abstract
We consider the algebra of translation invariant operators of L(p)(T) to L(q)(T). If 1 less-than-or-equal-to p < q less-than-or-equal-to inf inity, the spectrum of such an operator coincides with the closure of the range of the corresponding multiplier. Furthermore, if p less-than -or-equal-to 2 < q, the operating functions on the algebra of multipli ers are characterized.