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Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents

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Abstract

In this article, we show that multilinear fractional type operators are bounded from product of Hardy spaces with variable exponents into Lebesgue spaces with variable exponents via the atomic decomposition theory.

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Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

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Acknowledgements

The author wishes to express his heartfelt thanks to the anonymous referees for careful reading. The project is sponsored by National Natural Science Foundation of China (Grant No. 11901309), Natural Science Foundation of Jiangsu Province of China (Grant No. BK20180734), Natural Science Research of Jiangsu Higher Education Institutions of China (Grant No. 18KJB110022) and Nanjing University of Posts and Telecommunications Science Foundation (Grant No. NY219114).

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  1. School of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210023, People’s Republic of China

    Jian Tan

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Correspondence to Jian Tan.

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Tan, J. Boundedness of multilinear fractional type operators on Hardy spaces with variable exponents. Anal.Math.Phys. 10, 70 (2020). https://doi.org/10.1007/s13324-020-00415-x

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  • DOI: https://doi.org/10.1007/s13324-020-00415-x

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