与球拟Banach函数空间相关的广义Morrey空间上参数型Littlewood-Paley算子及高阶交换子

doi:10.6040/j.issn.1671-9352.0.2023.433

摘要/Abstract

摘要： 主要讨论参数型面积积分μ^ρ_Ω,S、参数型Littlewood-Paley g^*_λ-函数μ^{*, ρ}_Ω,λ及其分别与BMO函数生成的高阶交换子在与球拟Banach函数空间相关的广义Morrey空间M_u(X)上的有界性。

关键词: 球拟Banach函数空间, 参数型Littlewood-Paley算子, 广义Morrey空间, 交换子, 有界性

Abstract: In this paper, the authors mainly discuss the boundedness of parametrized area integral μ^ρ_Ω,S and parametrized Littlewood-Paley g^*_λ-function μ^{*, ρ}_Ω,λ and their higher order commutators ［b^m, μ^ρ_Ω,S］ and ［b^m, μ^{*, ρ}_Ω,λ］ generated by b∈BMO and μ^ρ_Ω,S、 g^*_λ-function μ^{*, ρ}_Ω,λ on generalized Morrey spaces associated with ball quasi-Banach function spaces M_u(X).

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

中图分类号:

O174.2

李雪梅,张铮,逯光辉Symbol`@@. 与球拟Banach函数空间相关的广义Morrey空间上参数型Littlewood-Paley算子及高阶交换子[J]. 《山东大学学报(理学版)》, 2025, 60(8): 86-94.

LI Xuemei, ZHANG Zheng, LU Guanghui. Parametrized Littlewood-Paley operators and their higher order commutators on generalized Morrey spaces associated with ball quasi-Banach function spaces[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(8): 86-94.

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