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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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Additional information
References:
- 1.
- R. R. Coifman, A real variable characterization of Hp, Studia Math. 51 (1974), 269-274. MR 358318
- 2.
- 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
- 5.
- B. Korenblum, On a class of Banach spaces associated with the notion of entropy, Trans. Amer. Math. Soc. 290 (1985), 527-553. MR 792810
- 6.
- 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
- 7.
- 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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