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On the binary analogs of the hardy and hardy-littlewood operators

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References

  1. A. Zygmund, Trigonometric Series. Vol. 2 [Russian translation], Mir, Moscow (1965).

    Google Scholar 

  2. S. G. Kreîn, Yu. I. Petunin, and E. M. Semënov, Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  3. G. H. Hardy, D. E. Littlewood, and G. Pólya, Inequalities [Russian translation], Izdat. Inostr. Lit., Moscow (1948).

    Google Scholar 

  4. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals [Russian translation], Gostekhizdat, Moscow and Leningrad (1948).

    Google Scholar 

  5. R. Bellman, “A note on a theorem of Hardy on Fourier constants,” Bull. Amer. Math. Soc.,50, 741–744 (1944).

    Article  MATH  MathSciNet  Google Scholar 

  6. B. I. Golubov, “On one Bellman’s theorem on Fourier constants,” Mat. Sb.,185, No. 11, 31–40 (1994).

    MATH  Google Scholar 

  7. F. Schipp, W. R. Wade, and P. Simon, Walsh Series, Akademiai Kiadó, Budapest (1990).

    MATH  Google Scholar 

  8. B. I. Golubov, V. A. Skvortsov, and A. V. Efimov, Walsh Series and Transforms. The Theory and Applications [in Russian], Nauka Moscow (1987).

    Google Scholar 

  9. N. J. Fine, “The generalized Walsh functions,” Trans. Amer. Math. Soc.,69, 66–77 (1950).

    Article  MATH  MathSciNet  Google Scholar 

  10. R. E. A. C. Paley, “A remarkable series of orthogonal functions,” Proc. London Math. Soc.,34, 241–279 (1934).

    Article  Google Scholar 

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The research was financially supported by the Russian Foundation for Basic Research (Grant 96-01-00332).

Dolgoprudnyî (Moscow obl.). Translated fromSibirskiĭ Matematicheskiĭ Zhurnal, Vol. 40, No. 6, pp. 1244–1252, November–December, 1999.

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Golubov, B.I. On the binary analogs of the hardy and hardy-littlewood operators. Sib Math J 40, 1051–1058 (1999). https://doi.org/10.1007/BF02677528

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  • DOI: https://doi.org/10.1007/BF02677528

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