DOI QR코드

DOI QR Code

INEQUALITIES FOR VECTOR-VALUED MAXIMAL FUNCTIONS OVER LOCALLY COMPACT VILENKIN GROUPS

  • Senhua, Lan (Department of Mathematics Lishui Teachers′College) ;
  • Lanzhe, Liu (Department of Applied Mathematics Hunan University)
  • Published : 2002.05.01

Abstract

In this paper, some inequalities for vector-valued maximal functions over locally compact Vienkin groups are obtained.

Keywords

References

  1. Sci. China (Ser. A) v.43 Herz-type Hardy spaces on Vilenkin groups and their applications D. Fan;D. Yang https://doi.org/10.1007/BF02879307
  2. Amer. J. Math. v.93 Some maximal inequalities C. Fefferman;E. M. Stein https://doi.org/10.2307/2373450
  3. Lecture Notes in Math. v.939 Generalized Lipschitz spaces and Herz space on certain totally disconnected groups C. W. Onneweer https://doi.org/10.1007/BFb0096263
  4. Trans. Amer. Math. Soc. v.288 Multipliers on weighted $L_p$-spaces over certain totally disconnected groups C. W. Onneweer https://doi.org/10.2307/2000443
  5. Fourier Analysis on Local Fields M. H. Taibleson
  6. Approx. Theory Appl. v.16 Boundedness of vector-valued operators on weighted Herz spaces L. Tang;D. Yang
  7. Indian J. of Math. v.41 Applications of weighted weak Herz-type spaces over Vilenkin groups D. Yang