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Fractional integrals with variable kernels on hardy spaces

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Abstract

The fractional integral operators with variable kernels are discussed. It is proved that if the kernel satisfies the Dini-condition, then the fractional integral operators with variable kernels are bounded from H p (R n) into L q (R n) when 0<p≤1 and 1/q=1/p−a/n. The results in this paper improve the results obtained by Ding, Chen and Fan in 2002.

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Authors and Affiliations

  1. Dept. of Information and Computing Science, Zhejiang Institute of Science and Technology, 310033, Hangzhou, China

    Zhang Pu

  2. Dept. of Math., Zhejiang University, 310028, Hangzhou, China

    Zhang Pu

  3. Dept. of Math., Beijing Normal University, 100875, Beijing, China

    Ding Yong

Authors
  1. Zhang Pu
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  2. Ding Yong
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Additional information

Supported by the 973 Project (G1999075105) and the National Natural Science Foundation of China (10271016).

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Pu, Z., Yong, D. Fractional integrals with variable kernels on hardy spaces. Appl. Math. Chin. Univ. 18, 461–466 (2003). https://doi.org/10.1007/s11766-003-0073-7

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  • DOI: https://doi.org/10.1007/s11766-003-0073-7

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