Skip to main content
SpringerLink
Log in

Dilation of generalized Toeplitz kernels and some vectorial moment and weighted problems

  • Conference paper
  • First Online:
Harmonic Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 908))

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

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. V. Adamjan—D. Arov—M. Krein. Infinite Hankel matrices and problems of Caratheodory-Fejer, Funk. Anal. Appl. 2 (1968), 1–19.

    Article  MathSciNet  Google Scholar 

  2. R. Arocena—M. Cotlar. Toeplitz kernels and Adamjan-Arov-Krein problems to appear in Integral Equations and Operator Theory, 1981.

    Google Scholar 

  3. R. Arocena—M. Cotlar. Generalized Herglotz-Bochner theorem and L2-weighted problems with finite measure. To appear, Proc. Conference in honor of Prof. A. Zygmund, Chicago, 1981.

    Google Scholar 

  4. R. Arocena—M. Cotlar—C. Sadosky. Weighted inequalities and lifting properties, to appear in Adv. Math. 1981.

    Google Scholar 

  5. R. Arocena—J. León. On a generalization of stationary processes, preprint.

    Google Scholar 

  6. Iu. Berezanzki, Eigenfunction expansions os selfadjoint operators, Translations Amer. Math. Soc. MONO 17 (1968).

    Google Scholar 

  7. R. Coifman—R. Rochberg—G. Weiss

    Google Scholar 

  8. M. Cotlar—C. Sadosky. On the Helson-Szego theorem. Proc. Symp. Pure Math. Amer. Math. Soc. 35 (1979), 383–407.

    Article  MathSciNet  MATH  Google Scholar 

  9. A. Devinatz. Factorization of operator-valued functions. Ann. Math. 73 (1961), 458–495.

    Article  MathSciNet  MATH  Google Scholar 

  10. H. Helson—D. Sarason. Past and Future, Math. Scand. 21 (1967), 5–16.

    MathSciNet  MATH  Google Scholar 

  11. H. Helson—G. Szego. A problem in prediction theory, An. Math. Pura Appl. 51 (1960), 107–138.

    Article  MathSciNet  MATH  Google Scholar 

  12. Hunt—Muckenhoupt—Wheeden, Weithed norm inequalities for the conjugate function. Trans. A.M. Soc. 176 (1973), 227–252.

    Article  MathSciNet  MATH  Google Scholar 

  13. Ibrahimov—Rosanov. Random Gaussian Processes, Springer 1978.

    Google Scholar 

  14. P. Koosis. Moyenn es quadratiques pondérées. C.R. Acad. Sc. Paris 291 (1980) 255–256.

    MathSciNet  MATH  Google Scholar 

  15. Sz. Nagy—Foias. Analyse Harmonique des Operateurs, Budapest, 1967.

    Google Scholar 

  16. N.K. Nikolski. Lectures on the shift operator (russian. Moscú 1980.

    Google Scholar 

  17. L. Page. Bounded and compact vectorial operators, Trans. Amer. Math. Soc. 150 (1970), 529–539.

    Article  MathSciNet  MATH  Google Scholar 

  18. S. Parrot. On a quotient norm and Nagy-Foias lifting theorem. Jour. Funct. Anal. 30 (1978), 311–328.

    Article  MathSciNet  Google Scholar 

  19. V. Peller. Vectorial Hankel operators, commutators and related operators of Schatten-V. Neumann class. Steklov. Math. Instit. EB-1981.

    Google Scholar 

  20. V. Peller—S.Hruscev. Hankel operators best approximations and stationary Gaussian processes, I,II,II, ibid Steklov. Math. Instit. E 4, E 5, E 6,-81.

    Google Scholar 

  21. D. Sarason. Generalized interpolation in H∞. Trans. Am. Math. Soc. 207 (1973), 286–299.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Facultad de Ciencias, Departamento de Matemáticas, Universidad Central de Venezuela, Venezuela

    R. Arocena

  2. 10-C, Avenida Las Palmas, Urbanización Las Palmas, 1050, Caracas, Venezuela

    Prof. M. Cotlar (Residencias Parque Tamanaco)

Authors
  1. R. Arocena
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Prof. M. Cotlar
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Fulvio Ricci Guido Weiss

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer-Verlag

About this paper

Cite this paper

Arocena, R., Cotlar, M. (1982). Dilation of generalized Toeplitz kernels and some vectorial moment and weighted problems. In: Ricci, F., Weiss, G. (eds) Harmonic Analysis. Lecture Notes in Mathematics, vol 908. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093286

Download citation

  • DOI: https://doi.org/10.1007/BFb0093286

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11188-7

  • Online ISBN: 978-3-540-38973-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation