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Endpoint estimates for multilinear fractional integrals with non-doubling measures

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Abstract

Under the assumption that µ is a non-doubling measure on ℝd which only satisfies the polynomial growth condition, the authors obtain the boundedness of the multilinear fractional integrals on Morrey spaces, weak-Morrey spaces and Lipschitz spaces associated with µ, which, in the case when µ is the d-dimensional Lebesgue measure, also improve the known results.

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Author notes

  1. Hai-bo Lin

    Present address: College of Science, China Agricultural University, Beijing, 100083, China

Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, 100875, China

    Hai-bo Lin & Da-chun Yang

Authors
  1. Hai-bo Lin
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  2. Da-chun Yang
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Corresponding author

Correspondence to Da-chun Yang.

Additional information

Supported by the National Natural Science Foundation of China (No. 10871025).

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Lin, Hb., Yang, Dc. Endpoint estimates for multilinear fractional integrals with non-doubling measures. Acta Math. Appl. Sin. Engl. Ser. 30, 755–764 (2014). https://doi.org/10.1007/s10255-012-0194-y

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  • DOI: https://doi.org/10.1007/s10255-012-0194-y

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