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On the Mixed Pólya-Szegö Principle

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Abstract

In this paper, the mixed Pólya-Szegö principle is established. By the mixed Pólya-Szegö principle, the mixed Morrey-Sobolev inequality and some new analytic inequalities are obtained.

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Acknowledgements

The first author would like to thank his postdoctoral adviser Professor Zizhou Tang for stimulating advises and suggestions. We thank anonymous referees for suggestions and comments.

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Authors and Affiliations

  1. Chern Institute of Mathematics, Nankai University, Tianjin, 300071, P. R. China

    Niu Fa Fang

  2. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, P. R. China

    Jia Zu Zhou

  3. College of Science, Wuhan University of Science and Technology, Wuhan, 430081, P. R. China

    Jia Zu Zhou

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  1. Niu Fa Fang
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  2. Jia Zu Zhou
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Correspondence to Jia Zu Zhou.

Additional information

The first author is supported in part by NSFC (Grant No. 12001291); The second author is supported in part by NSFC (Grant No. 12071318)

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Fang, N.F., Zhou, J.Z. On the Mixed Pólya-Szegö Principle. Acta. Math. Sin.-English Ser. 37, 753–767 (2021). https://doi.org/10.1007/s10114-021-0099-x

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  • DOI: https://doi.org/10.1007/s10114-021-0099-x

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