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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

On Fourier coefficients of a continuous periodic function of bounded entropy norm

Author(s): Romuald Dąbrowski
Journal: Bull. Amer. Math. Soc. 18 (1988), 49-51.
MSC (1985): Primary 42A20, 46E15
MathSciNet review: 919659
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References | Similar articles | Additional information

References:

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R. R. Coifman, A real variable characterization of Hp, Studia Math. 51 (1974), 269-274. MR 358318
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R. Dabrowski, Probability measure representation of norms associated with the notion of entropy, Proc. Amer. Math. Soc. 90 (1984), 263-268. MR 727246
3.
P. Duren, Theory of Hp spaces, Academic Press, New York, 1970. MR 268655
4.
P. Koosis, Introduction to Hp spaces, London Math. Soc. Lecture Note Series 40, Cambridge Univ. Press, Cambridge and New York, 1980. MR 565451
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B. Korenblum, On a class of Banach spaces associated with the notion of entropy, Trans. Amer. Math. Soc. 290 (1985), 527-553. MR 792810
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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), 215-218. MR 707960
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K. Yosida, Functional analysis, Grundlehren Math. Wiss. Band 123, Springer-Verlag, Berlin and New York, 1974, pp. 130-136. MR 350358

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Additional Information:

DOI: 10.1090/S0273-0979-1988-15594-2
PII: S 0273-0979(1988)15594-2




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