대한수학회지 (Journal of the Korean Mathematical Society)

대한수학회 (Korean Mathematical Society)
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INEQUALITIES FOR VECTOR-VALUED MAXIMAL FUNCTIONS OVER LOCALLY COMPACT VILENKIN GROUPS

  • Senhua, Lan ;
  • Lanzhe, Liu
  • 발행 : 2002.05.01

초록

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

키워드

Vilenkin group;Hardy-Littlewood maximal operator;Herz space;weak Herz space

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참고문헌

  1. Fourier Analysis on Local Fields M. H. Taibleson
  2. Approx. Theory Appl. v.16 Boundedness of vector-valued operators on weighted Herz spaces L. Tang;D. Yang
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  4. Indian J. of Math. v.41 Applications of weighted weak Herz-type spaces over Vilenkin groups D. Yang
  5. 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
  6. Amer. J. Math. v.93 Some maximal inequalities C. Fefferman;E. M. Stein https://doi.org/10.2307/2373450
  7. 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