Iterated Littlewood-Paley functions and a multiplier theorem
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- by W. R. Madych PDF
- Proc. Amer. Math. Soc. 45 (1974), 325-331 Request permission
Abstract:
A sufficient condition for a bounded function to be a multiplier of Fourier transforms on ${L^p}({R^n}),1 < p < \infty$, is established. The classical case of Marcinkiewicz is properly included. The main tools used in obtaining this result are iterated variants of the classical LittlewoodPaley functions together with an ${L^p}$ estimate on certain maximal functions closely related to strong differentiability of multiple integrals.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 325-331
- MSC: Primary 42A92; Secondary 42A18
- DOI: https://doi.org/10.1090/S0002-9939-1974-0355475-8
- MathSciNet review: 0355475