On operator-valued Fourier multiplier theorems
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- by Željko Štrkalj and Lutz Weis PDF
- Trans. Amer. Math. Soc. 359 (2007), 3529-3547 Request permission
Abstract:
The classical Fourier multiplier theorems of Marcinkiewicz and Mikhlin are extended to vector-valued functions and operator-valued multiplier functions on $\mathbb {Z}^d$ or $\mathbb {R}^d$ which satisfy certain $R$-boundedness conditions.References
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Additional Information
- Željko Štrkalj
- Affiliation: Institute of Mathematics I, University of Karlsruhe, Englerstrasse 2, D-76128 Karlsruhe, Germany
- Email: zeljko.strkalj@math.uni-karlsruhe.de
- Lutz Weis
- Affiliation: Institute of Mathematics I, University of Karlsruhe, Englerstrasse 2, D-76128 Karlsruhe, Germany
- MR Author ID: 181530
- Email: lutz.weis@math.uni-karlsruhe.de
- Received by editor(s): October 1, 1999
- Received by editor(s) in revised form: April 10, 2003
- Published electronically: March 20, 2007
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 359 (2007), 3529-3547
- MSC (2000): Primary 42B15, 42A45, 46E40; Secondary 46B09
- DOI: https://doi.org/10.1090/S0002-9947-07-04417-0
- MathSciNet review: 2302504