Siberian Mathematical Journal

, Volume 41, Issue 4, pp 626–633 | Cite as

Multipliers of the fourier-haar series

  • I. B. Bryskin
  • O. V. Lelond
  • E. M. Semënov


Continuous Operator Lorentz Space Unconditional Basis Banach Function Space Separable Space 
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  1. 1.
    Lindenstrauss L. andTzafriri L., Classical Banach Spaces. Vol. 2: Function Spaces, Springer-Verlag, Berlin (1979).Google Scholar
  2. 2.
    Burkholder D. L., “A nonlinear partial differential equation and unconditional constant of the Haar system inL p” Bull. Amer. Math. Soc. (N.S.), No. 7, 591–595 (1982).zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    Yano S., “On a lemma of Marcinkiewicz and its applications to Fourier series,” Tôhoku Math. J., No. 11, 191–215 (1959).zbMATHGoogle Scholar
  4. 4.
    Krotov V. G., “On unconditional convergence of the Haar series in Λωp,” Mat. Zametki,5, No. 23, 685–695 (1978).MathSciNetGoogle Scholar
  5. 5.
    Kreîn S. G., Petunin Yu. I., andSemënov E. M., Interpolation of Linear Operators [in Russian], Nauka, Moscow (1978).Google Scholar
  6. 6.
    Novikov I. andSemenov E., Haar Series and Linear Operators, Kluwer Acad. Publ., Dordrecht (1997).zbMATHGoogle Scholar
  7. 7.
    Golubov B. I., “Fourier series by the Haar system,” in: Mathematical Analysis [in Russian], VINITI, Moscow, 1971, pp. 109–146 (Itogi Nauki).Google Scholar
  8. 8.
    Kashin B. S. andSaakyan A. L., Orthogonal Series [in Russian], Nauka, Moscow (1984).zbMATHGoogle Scholar
  9. 9.
    Novikov I. Ya., “Sequences of characteristic functions in rearrangement-invariant spaces,” Sibirsk. Mat. Zh.,24, No. 2, 193–196 (1983).zbMATHMathSciNetGoogle Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 2000

Authors and Affiliations

  • I. B. Bryskin
  • O. V. Lelond
  • E. M. Semënov

There are no affiliations available

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