Skip to main content
Log in

Elementary aspects ofB sp,q (Kn) andF sp,q (Kn) spaces

  • Published:
Approximation Theory and its Applications

Abstract

In the first part of this paper, we discuss some properties of SΩ(Kn), L ΩP (Kn) and L ΩP (Kn;lq) spaces, give the Plancherel-Polya-Nikol’skij type inequalities and some multiplier theorems. In the second part of this paper, using the results of Part I we prove some preliminary results for the spaces B sp,q (Kn) and F sp,q (Kn).

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. Hans Triebel, Theory of Function Spaces, Monographs in Mathematics, Vol. 78, Birkhäuser Verlag, 1983.

  2. M. H. Taiblson, Fourier Analysis on Local Fields, Princeton University Press, 1975.

  3. C. W. Onneweer & Su Weiyi, Homogeneous Besov Spaces on Locally compact Vilenkin Groups, Studia Mathematica, T. XCIII(1987), 17–39.

    Google Scholar 

  4. M. Ombe, Besov-type Spaces on Certain Groups, Ph.D. Dissertation, University of New Mexico, 1984.

  5. Zheng Weixing, Derivative and Approximation Theorems on Local fields, Rocky Mountain Journal of Mathematics, 15:49(1985), 803–817.

    Google Scholar 

  6. Su Weiyi, Pseudo-Differential Operators in Besov Spaces over Local fields, Approximation Theory & its application, 4:2(1988), 119–129.

    MATH  Google Scholar 

  7. C. W. Onneweer, Differentiation on a p-adic or p-series fields, in Linear spaces and Approximation (Edited by P. L. Butzer and B. Sz-Nagy). ISNM 40, Birkhau-Varlag, Basel(1978), 187–1978

    Google Scholar 

  8. Xiao Changbo, The Hardy-Littlewood Maximal Theorem forl q-Valued Functions on Local Fields, Journal of Nanjing University Math. Biquarterly, 3:29(1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guangcai, Z., Weiyi, S. Elementary aspects ofB sp,q (Kn) andF sp,q (Kn) spaces. Approx. Theory & its Appl. 8, 11–28 (1992). https://doi.org/10.1007/BF02836102

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02836102

Keywords

Navigation