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BOUNDEDNESS OF FRACTIONAL INTEGRAL OPERATORS IN HERZ-TYPE SPACES ON LOCALLY COMPACT VILENKIN GROUPS 被引量:5

BOUNDEDNESS OF FRACTIONAL INTEGRAL OPERATORS IN HERZ-TYPE SPACES ON LOCALLY COMPACT VILENKIN GROUPS
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摘要 Let G be a locally compact Vilenkin group. In this paper toe first establish the Hardy-Littlewood-Sobolev theorem on G. Then some boundedness theorems of fractional integral operators in Herz-type spaces on G are obtained. Let G be a locally compact Vilenkin group. In this paper toe first establish the Hardy-Littlewood-Sobolev theorem on G. Then some boundedness theorems of fractional integral operators in Herz-type spaces on G are obtained.
出处 《Approximation Theory and Its Applications》 2002年第3期15-25,共11页 逼近论及其应用(英文版)
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参考文献2

  • 1Dashan Fan,Dachun Yang.Herz-type Hardy spaces on Vilenkin groups and their applications[J].Science in China Series A: Mathematics.2000(5)
  • 2Taibleson,M.H.Fourier Analysis on Local Fields, Princeton Univ[]..1975

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