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On the Dirichlet kernels and a Hardy space with respect to the Vilenkin system

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References

  1. S. V. Bockariev, The logaritmic growth of the aritmetic means of the Lebesgue functions with respect to bounded orthonormal systems,DAN SSSR,223 (1975), 16–19 (in Russian).

    Google Scholar 

  2. J. A. Chao, Hardy spaces on regular martingales, Martingale Theory in Harmonic Analysis and Banach Spaces, Cleveland, Ohio, 1981, 18–28.,Lecture Notes in Mathematics,939, Springer (Berlin).

  3. J. D. Chen, A theorem of Kaczmarz on multiple generalized Walsh-Fourier series,Bull. Inst. Math. Acad. Sinica,10 (1982), 205–212.

    Google Scholar 

  4. R.R. Coifman, G. L. Weiss, Extensions of Hardy spaces and their use in analysis,Bull. Amer. Math. Soc.,83 (1977), 569–645.

    Google Scholar 

  5. B. I. Golubov, On a class of complete orthogonal systems,Sib. Mat. Z.,9 (1968), 297–314 (in Russian).

    Google Scholar 

  6. F. Móricz, Lebesgue functions and multiple function series I.,Acta Math. Acad. Sci. Hungar.,37 (1981), 481–496.

    Google Scholar 

  7. P. Simon, Investigations with respect to the Vilenkin system,Annales Univ. Sci. Budapest (to appear).

  8. N. Ja. Vilenkin, On a class of complete orthonormal systems,Izv. Akad. Nauk SSSR, ser. mat.,11 (1947), 363–400.

    Google Scholar 

  9. C. Watari, On generalized Walsh-Fourier series,Tohoku Math. J.,10 (1958), 211–241.

    Google Scholar 

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Fridli, S., Simon, P. On the Dirichlet kernels and a Hardy space with respect to the Vilenkin system. Acta Math Hung 45, 223–234 (1985). https://doi.org/10.1007/BF01955039

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