Approximation Theory and its Applications

, Volume 18, Issue 3, pp 86–92 | Cite as

Interpolation spaces betweenH 1 andL on spaces of homogeneous type

  • Li Wenming


Using the maximal function characterization of Hardy spaces, we study the interpolation spaces between H1 and L on spaces of homogeneous type.


Hardy Space Maximal Function Polation Space Equivalent Norm Lorentz Space 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Bergh, J. and Lofstrom, J., Interpolation Spaces, New York, Springer-Verlag, 1976.MATHGoogle Scholar
  2. [2]
    Deng, D. G. and Han, Y. S., Theory ofH p Spaces, Beijing, Beijing University Press, 1992.Google Scholar
  3. [3]
    Li, W. M., A Maximal Function Characterization of Hardy Spaces on Spaces of Homogenous Type, Approx. Theory its Appl., 14(1998), 12–27.Google Scholar
  4. [4]
    Riviere, N.M. and Sagher, Y., Interpolation BetweenL andH 1, the Real Method, J. Func. Anal., 14(1974), 401–409.CrossRefMathSciNetGoogle Scholar
  5. [5]
    Han, Y. S. and Sawyer, E. T., Littlewood-Paley Theory on Spaces of Homogeneous Type and Classical Function Spaces, Mem. Amer. Math. Soc., 110(1994), 1–136.MathSciNetGoogle Scholar
  6. [6]
    Macias, R. A. and Segovia, C., Lipschitz Function on Spaces of Homogeneous Type, Adv. Math., 33(1979), 257–270.MATHCrossRefMathSciNetGoogle Scholar
  7. [7]
    Macias, R. A. and Segovia, C., A Decomposition Into Atoms of Distribution on Spaces of Homogeneous Type, Adv. Math., 33(1979), 271–309.MATHCrossRefMathSciNetGoogle Scholar
  8. [8]
    Coifman, R.R. and Weiss, G., Extensions of Hardy Spaces and Their Use in Analysis, Bull. Amer. Math. Soc., 83(1977), 569–645.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer 2002

Authors and Affiliations

  • Li Wenming
    • 1
  1. 1.College of Mathematics and Information ScienceHebei Normal UniversityShijiazhangP.R.China

Personalised recommendations