Approximation Theory and its Applications

, Volume 18, Issue 4, pp 31–47 | Cite as

Boundedness of generalized fractional integral operators

  • Tang Canqin
  • Yang Dachun
  • Zhang Pu


The authors introduce a new kind of fractional integral operators, namely, the so called (ϕ, N)-type fractional integral operators and discuss their boundedness on the Hardy spaces, the weak Hardy spaces and the Herz-type Hardy spaces.


Hardy Space Fractional Integral Operator Weak Hardy Space Atom Characterization Nonnegative Nondecreasing Function 
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Copyright information

© Springer 2002

Authors and Affiliations

  1. 1.Department of MathematicsChangde Normal UniversityChangde, Hunan ProvinceP. R. China
  2. 2.Department of MathematicsBeijing Normal UniversityBeijingP. R. China
  3. 3.Department of Mathematics Xixi CampusZhejiang UniversityHangzhouP. R. China

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