대한수학회지 (Journal of the Korean Mathematical Society)
- Volume 39 Issue 3
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- Pages.397-410
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- 2002
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- 0304-9914(pISSN)
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- 2234-3008(eISSN)
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)
- 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
파일
참고문헌
- Fourier Analysis on Local Fields M. H. Taibleson
- Approx. Theory Appl. v.16 Boundedness of vector-valued operators on weighted Herz spaces L. Tang;D. Yang
- 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
- Indian J. of Math. v.41 Applications of weighted weak Herz-type spaces over Vilenkin groups D. Yang
-
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 - Amer. J. Math. v.93 Some maximal inequalities C. Fefferman;E. M. Stein https://doi.org/10.2307/2373450
- 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