Skip to main content
SpringerLink
Log in

Differential properties of bases and halo problem for rearrangement-invariant spaces

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. M. de Guzmán, Differentiation of Integrals in ℝn [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  2. F. Soria, “Note on differentiation of integrals and the halo conjecture,” Studia Math.,81, No. 1, 29–36 (1985).

    Google Scholar 

  3. A. M. Stokolos, “On the differentiation of integrals of functions fromLϕ(L),” Studia.Math.,88, No. 2, 103–120 (1988).

    Google Scholar 

  4. A. M. Stokolos, “On the differentiation on integrals of functions from Orlicz classes,” Studia Math.,94, No. 1, 35–50 (1989).

    Google Scholar 

  5. E. I. Berezhnoi, “Differential bases and symmetric spaces,” Funtsional. Anal. i Prilozhen.,24, No. 3, 66–67 (1990).

    Google Scholar 

  6. A. Lebesgue, “Sur l'integration des fonctions discontinues,” Ann. Sci. école Norm. Sup. (4),27, 361–450 (1910).

    Google Scholar 

  7. B. Jessen, J. Marcinkiewicz, and A. Zygmund, “Note on the differentiability of multiple integrals,” Fund. Math.,25, 217–234 (1935).

    Google Scholar 

  8. A. Zygmund, “A note on the differentiability of integrals,” Colloq. Math.,16, 199–204 (1967).

    Google Scholar 

  9. S. Saks, “On the strong derivatives of functions of intervals,” Fund. Math.,25, 235–252 (1935).

    Google Scholar 

  10. B. López Melero, “A negative result in differentiation theory,” Studia Math.,72, No. 2, 173–182 (1982).

    Google Scholar 

  11. J. Bergh and J. Löfström, Interpolation Spaces. Introduction [Russian translation], Mir, Moscow (1980).

    Google Scholar 

  12. S. G. Krein, Yu. I. Petunin, and E. M. SemËnov, Interpolation of Linear Operators [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  13. J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces. Vol. 1 and 2, Springer, Berlin-New York (1977–1979).

    Google Scholar 

  14. E. M. Stein, Singular Integrals and Differentiability Properties of Functions [Russian translation], Mir, Moscow (1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Yaroslavl'

    E. I. Berezhnoi

Authors
  1. E. I. Berezhnoi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated fromSibirskii Matematicheskii Zhurnal, Vol. 36, No. 6, pp. 1234–1250, November–December, 1995.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Berezhnoi, E.I. Differential properties of bases and halo problem for rearrangement-invariant spaces. Sib Math J 36, 1065–1079 (1995). https://doi.org/10.1007/BF02106832

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02106832

Keywords

Search

Navigation