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Multilinear Commutators in Variable Lebesgue Spaces on Stratified Groups

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Analysis of Pseudo-Differential Operators

Part of the book series: Trends in Mathematics ((TM))

Abstract

In this paper, we study the multilinear fractional integrals and Calderón–Zygmund singular integrals on stratified groups. We obtain the boundedness of the commutators of the multilinear fractional integrals and Calderón–Zygmund singular integrals in variable Lebesgue spaces.

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Acknowledgements

The authors would like to express great gratitude to the referees for their valuable remarks which improve the presentation of this article. The author “J. Zhao” was supported by National Natural Science Foundation of China (Grant Nos. 11471040 and 11761131002).

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Authors and Affiliations

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

    Dongli Liu & Jiman Zhao

  2. College of Science, Nanjing University of Posts and Telecommunications, Nanjing, China

    Jian Tan

Authors
  1. Dongli Liu
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  2. Jian Tan
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  3. Jiman Zhao
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Corresponding author

Correspondence to Jiman Zhao .

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Editors and Affiliations

  1. Department of Mathematics, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran

    Shahla Molahajloo

  2. Department of Mathematics and Statistics, York University, Toronto, ON, Canada

    M. W. Wong

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Liu, D., Tan, J., Zhao, J. (2019). Multilinear Commutators in Variable Lebesgue Spaces on Stratified Groups. In: Molahajloo, S., Wong, M. (eds) Analysis of Pseudo-Differential Operators. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-05168-6_5

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