Skip to main content
SpringerLink
Log in

Atomic Hardy spaces

Атомические простра нства Харди

  • Published:
Analysis Mathematica Aims and scope Submit manuscript

Abstract

Обобщаются некоторы е дуальные результат ы теории мартингалов. Доказан ы теоремы дуальности а томических простран ств Харди, пространствBMO иVMO.

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. A. Bernard andB. Maisonneuve, Decomposition atomique de martingales de la classeH 1,Seminaire de Probabilitès XI. (Lect. Notes Math., vol. 581, pp. 303–323) Springer Verlag (Berlin-Heidelberg-New York, 1977).

    Google Scholar 

  2. D. L. Burkholder, Distribution function inequalities for martingales,Annals of Prob. 1(1973), 19–42.

    Google Scholar 

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

    Google Scholar 

  4. S. Fridli andF. Schipp, Tree-martingales,Proc. Fifth Pannonian Symp. on Math. Stat. Visegrád, Hungary (1985), 53–63.

    Google Scholar 

  5. A. M. Garsia,Martingale inequalities, Seminar Notes on Recent Progress. Math. Lecture notes series, Benjamin Inc. (New York, 1973).

    Google Scholar 

  6. C. Herz, Bounded mean oscillation and regulated martingales,Trans. Amer. Math. Soc. 193(1974), 199–215.

    Google Scholar 

  7. C. Herz,H p -spaces of martingales, 0<p≤1,Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 28(1974), 189–205.

    Article  Google Scholar 

  8. J.Neveu,Discrete-parameter martingales, North-Holland (1971).

  9. F. Schipp, Martingale Hardy spaces,Internat. Conference on Approximation Theory (Kiev, 1983), Nauka (1987), 510–515.

    Google Scholar 

  10. F. Schipp, The dual space of martingaleVMO space.Proc. Third Pannonian Symp. Math. Stat., Visegrá d, Hungary (1982), 305–315.

    Google Scholar 

  11. F. Schipp, W. R. Wade, P. Simon andJ. Pál,Walsh series: An introduction to dyadic harmonic analysis, Akadémiai Kiadó (Budapest, 1990).

    Google Scholar 

  12. N. Ja. Vilenkin, On a class of complete orthonormal systems,Izv. Akad. Nauk. SSSR, Ser. Math.11(1947), 363–400.

    Google Scholar 

  13. F. Weisz, Dyadic martingale Hardy andVMO spaces on the plane,Acta Math. Hung.,56(1990), 143–154.

    Google Scholar 

  14. F. Weisz, Martingale Hardy spaces,BMO andVMO spaces with nonlinearly ordered stochastic basis,Analysis Math.,16(1990), 227–239.

    Article  Google Scholar 

  15. F. Weisz, Martingale Hardy spaces for 0<p≤1.Probab. Theory Related Fields,84(1990), 361–376.

    Article  Google Scholar 

  16. F. Weisz, On duality problems of two-parameter martingale Hardy spaces,Bull. Sci. Math.,114(1990), 395–410.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of numerical analysis, Eötvös L. University, Bogdánfy U. 10/B, 1117, Budapest, Hungary

    F. Weisz

Authors
  1. F. Weisz
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This paper is a part of the author's Ph.D. thesis written under the supervision of Prof. F. Schipp, Eötvös L. University, Budapest.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Weisz, F. Atomic Hardy spaces. Analysis Mathematica 20, 65–80 (1994). https://doi.org/10.1007/BF01908919

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01908919

Keywords

Search

Navigation