On Fourier coefficients of a continuous periodic function of bounded entropy norm
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- by Romuald Dąbrowski PDF
- Bull. Amer. Math. Soc. 18 (1988), 49-51
References
- Ronald R. Coifman, A real variable characterization of $H^{p}$, Studia Math. 51 (1974), 269–274. MR 358318, DOI 10.4064/sm-51-3-269-274
- Romuald Dąbrowski, Probability measure representation of norms associated with the notion of entropy, Proc. Amer. Math. Soc. 90 (1984), no. 2, 263–268. MR 727246, DOI 10.1090/S0002-9939-1984-0727246-8
- Peter L. Duren, Theory of $H^{p}$ spaces, Pure and Applied Mathematics, Vol. 38, Academic Press, New York-London, 1970. MR 0268655
- Paul Koosis, Introduction to $H_{p}$ spaces, London Mathematical Society Lecture Note Series, vol. 40, Cambridge University Press, Cambridge-New York, 1980. With an appendix on Wolff’s proof of the corona theorem. MR 565451
- Boris Korenblum, On a class of Banach spaces of functions associated with the notion of entropy, Trans. Amer. Math. Soc. 290 (1985), no. 2, 527–553. MR 792810, DOI 10.1090/S0002-9947-1985-0792810-2
- B. Korenblum, A generalization of two classical convergence tests for Fourier series, and some new Banach spaces of functions, Bull. Amer. Math. Soc. (N.S.) 9 (1983), no. 2, 215–218. MR 707960, DOI 10.1090/S0273-0979-1983-15160-1
- Kôsaku Yosida, Functional analysis, 4th ed., Die Grundlehren der mathematischen Wissenschaften, Band 123, Springer-Verlag, New York-Heidelberg, 1974. MR 0350358, DOI 10.1007/978-3-642-96208-0
Additional Information
- Journal: Bull. Amer. Math. Soc. 18 (1988), 49-51
- MSC (1985): Primary 42A20, 46E15
- DOI: https://doi.org/10.1090/S0273-0979-1988-15594-2
- MathSciNet review: 919659