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Sequences of independent Walsh functions in BMO

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Abstract

Under examination are the sequences of independent Walsh functions in the space of functions of bounded mean oscillation. We study geometric properties of the subspaces spanned by the sequences; in particular, some necessary and sufficient conditions are found for such a subspace to be complemented.

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References

  1. Müller P. F. and Schechtman G., “On complemented subspaces of H 1 and VMO,” Lecture Notes Math., 1376, 113–125 (1989).

    Article  Google Scholar 

  2. Astashkin S. V., Leibov M., and Maligranda L., “Rademacher functions in BMO,” Studia Math., 205, No. 1, 83–100 (2011).

    Article  MathSciNet  MATH  Google Scholar 

  3. Kashin B. S. and Saakyan A. A., Orthogonal Series, Amer. Math. Soc., Providence (1989).

    MATH  Google Scholar 

  4. Garnett J. B., Bounded Analytic Functions, Springer-Verlag, New York (2007).

    Google Scholar 

  5. Albiac F. and Kalton N. J., Topics in Banach Space Theory (Graduated Texts in Mathematics; V. 233), Springer-Verlag, New York (2006)

    Google Scholar 

  6. Korenovskii A., Mean Oscillations and Equimeasurable Rearrangements of Functions, Springer-Verlag, Berlin and Heidelberg (2007).

    Book  MATH  Google Scholar 

  7. Bessaga C. and Pełczyński A., “Some remarks on conjugate spaces containing subspaces isomorphic to the space c0,” Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys., 6, 249–250 (1958).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Samara State University, Samara, Russia

    S. V. Astashkin & R. S. Sukhanov

  2. Luleå University of Technology, Luleå, Sweden

    L. Maligranda

Authors
  1. S. V. Astashkin
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  2. L. Maligranda
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  3. R. S. Sukhanov
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Corresponding author

Correspondence to S. V. Astashkin.

Additional information

Original Russian Text Copyright © 2013 Astashkin S.V., Maligranda L., and Sukhanov R.S.

The first author was supported by the Russian Foundation for Basic Research (Grant 10-01-00077).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 54, No. 2, pp. 270–278, March–April, 2013.

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Astashkin, S.V., Maligranda, L. & Sukhanov, R.S. Sequences of independent Walsh functions in BMO. Sib Math J 54, 205–211 (2013). https://doi.org/10.1134/S0037446613020031

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  • DOI: https://doi.org/10.1134/S0037446613020031

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