JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (8): 86-94.doi: 10.6040/j.issn.1671-9352.0.2023.433

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Parametrized Littlewood-Paley operators and their higher order commutators on generalized Morrey spaces associated with ball quasi-Banach function spaces

LI Xuemei, ZHANG Zheng, LU Guanghui*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2025-07-25

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Abstract: In this paper, the authors mainly discuss the boundedness of parametrized area integral μρΩ,S and parametrized Littlewood-Paley g*λ-function μ*, ρΩ,λ and their higher order commutators ［bm, μρΩ,S］ and ［bm, μ*, ρΩ,λ］ generated by b∈BMO and μρΩ,S、 g*λ-function μ*, ρΩ,λ on generalized Morrey spaces associated with ball quasi-Banach function spaces Mu(X).

Key words: ball quasi-Banach function spaces, parametrized Littlewood-Paley operator, generalized Morrey space, commutator, boundedness

CLC Number: 

  • O174.2
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