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Boundedness of generalized fractional integral operators

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Analysis in Theory and Applications

Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Changde Normal University, 415000, Changde, Hunan Province, P. R. China

    Tang Canqin

  2. Department of Mathematics, Beijing Normal University, 100875, Beijing, P. R. China

    Yang Dachun

  3. Department of Mathematics Xixi Campus, Zhejiang University, 310027, Hangzhou, P. R. China

    Zhang Pu

Authors
  1. Tang Canqin
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  2. Yang Dachun
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  3. Zhang Pu
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Corresponding author

Correspondence to Tang Canqin.

Additional information

Project was partially supported by Changde Normal University (No. 00(284) and the SEDF of China.

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Canqin, T., Dachun, Y. & Pu, Z. Boundedness of generalized fractional integral operators. Approx. Theory & its Appl. 18, 31–47 (2002). https://doi.org/10.1007/BF02845273

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  • DOI: https://doi.org/10.1007/BF02845273

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