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Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups

Author

Listed:
  • Daimei Chen

    (Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China)

  • Yanping Chen

    (Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China)

  • Teng Wang

    (Department of Applied Mathematics, School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, China)

Abstract

In this paper, we study the two weight commutators theorem of Riesz potential on an arbitrary homogeneous group H of dimension N . Moreover, in accordance with the results in the Euclidean space, we acquire the quantitative weighted bound on homogeneous group.

Suggested Citation

  • Daimei Chen & Yanping Chen & Teng Wang, 2021. "Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups," Mathematics, MDPI, vol. 9(19), pages 1-16, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:19:p:2421-:d:646080
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