On Fourier multiplier transformations of Banach-valued functions
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- by Terry R. McConnell PDF
- Trans. Amer. Math. Soc. 285 (1984), 739-757 Request permission
Abstract:
We obtain analogues of the Mihlin multiplier theorem and Littlewood-Paley inequalities for functions with values in a suitable Banach space $B$. The requirement on $B$ is that it have the unconditionality property for martingale difference sequences.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 285 (1984), 739-757
- MSC: Primary 42B15; Secondary 46E40
- DOI: https://doi.org/10.1090/S0002-9947-1984-0752501-X
- MathSciNet review: 752501