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局部紧Vilenkin群上一类Herz空间中的次线性算子的有界性

Sublinear Operators on a Class of Herz Spaces Over Locally Compact Vilenkin Groups
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摘要 得到局部紧 Vilenkin群上一类加幂权的 H erz空间中次线性算子的有界性定理 。 In this paper,boundedness theorem of sublinear operators on a class of Herz spaces with power weights over locally compact Vilenkin groups is obtained.For the case unweighted we also get a sufficient condition.
出处 《湖北师范学院学报(自然科学版)》 2002年第2期25-28,37,共5页 Journal of Hubei Normal University(Natural Science)
关键词 局部紧VILENKIN群 HERZ空间 次线性算子 有界性 幂权 紧支集 可积函数 Vilenkin group power weight Herz space sublinear operator
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参考文献5

  • 1Lu Shanzhen , Yang Dachun. Bounderness of subliear operators in Herz spaces on Vilenkn groups and its application. Math. Nachr. , 1998,191: 229
  • 2Yang Dachun. Applications of weighted weak Herz-type spaces over Vilenkin groups. Indian. Journal of Mathematics, 1999,41 : 455
  • 3Lu S Z, Yang D C. The decomposition of Herz-spaces on local fields and its applications. J. of Math. Anal. &Appl. ,1995,196:296
  • 4Fan Dashan,Yang Dachun. Herz-type Hardy spaces on Vilenking groups and their applications. Science in China(Series A) ,2000,43:481
  • 5Lu S Z,Soriz F. Sublinear operators on the Beurling algebras with power weights. J. of Beijing Normal University(Natural Science), 1994,30:170

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