Some inequalities related to the Hausdorff-Young theorem
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- by W. T. Sledd
- Proc. Amer. Math. Soc. 42 (1974), 535-540
- DOI: https://doi.org/10.1090/S0002-9939-1974-0344780-7
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Abstract:
The classical Hausdorff-Young inequalities for Fourier series are extended. These new results are then used to improve known results on multipliers of ${H^p}$ spaces.References
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G. H. Hardy, J. E. Littlewood and G. Polya, Inequalities, Cambridge Univ. Press, New York, 1934.
- James H. Hedlund, Multipliers of $H^{p}$ spaces, J. Math. Mech. 18 (1968/1969), 1067–1074. MR 0243080
- C. N. Kellogg, An extension of the Hausdorff-Young theorem, Michigan Math. J. 18 (1971), 121–127. MR 280995 J. E. Littlewood and R. E. A. C. Paley, Theorems on Fourier series and power series. II, Proc. London Math. Soc. 42 (1936), 52-89.
- A. Zygmund, Trigonometric series. 2nd ed. Vols. I, II, Cambridge University Press, New York, 1959. MR 0107776
Bibliographic Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 42 (1974), 535-540
- MSC: Primary 42A18
- DOI: https://doi.org/10.1090/S0002-9939-1974-0344780-7
- MathSciNet review: 0344780