Skip to main content
Log in

Besov spaces and Herz spaces on local fields

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

The relationship of Besov spaces and Herz spaces on local fields is given. As an application, one multiplier theorem is obtained. And the decompositional characterization of the weighted Besov spaces is established.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Taibleson, M. H.,Fourier Analysis a Local Fields. Princeton: Princeton University Press. 1975.

    Google Scholar 

  2. Baernstein, II A., Sawyer. E. T., Embedding and multiplier theorems forH p (Rn).Memoirs of the Amer. Math. Soc., 1985, 53: 318.

    MathSciNet  Google Scholar 

  3. LU Shanzhen. Yang Dachun. The decomposition of weighted Herz space on Rn and its applications.Science in China, Ser. A. 1995. 38(2): 147.

    MATH  MathSciNet  Google Scholar 

  4. Lu Shanzhen, Yang Dachun. The weighted Herz-type Hardy space and its applications,Science in China, Ser. A, 1995, 38 (6): 662.

    MATH  MathSciNet  Google Scholar 

  5. Onneweer, C. W., Su, W. Y., Homogeneous Besov spaces on locally compact Vilenkin groups,Studia Math., 1988, 147: 17.

    MathSciNet  Google Scholar 

  6. Su, Weiyi., Pseudo-differential operators in Besov spaces over local fields.Approx. Theory and Its Appl., 1988, 42: 119.

    Google Scholar 

  7. Lu. S. Z., Yang, D. C., The decomposition of Herz space on local fields and its application,J. Math. Anal. Appl., 1995, 196(1): 296.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhu, Y., Zheng, W. Besov spaces and Herz spaces on local fields. Sci. China Ser. A-Math. 41, 1051–1060 (1998). https://doi.org/10.1007/BF02871839

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02871839

Keywords

Navigation