Commutators of log-Dini-type parametric Marcinkiewicz operators on non-homogeneous metric measure spaces
نویسندگان
چکیده
Abstract Let $(\mathcal{X}, d, \mu )$ ( X , d μ ) be a non-homogeneous metric measure space, which satisfies the geometrically doubling condition and upper condition. In this paper, authors prove boundedness in $L^{p} (\mu L p of m th-order commutators $\mathcal{M}^{\rho }_{b,m}$ M b m ρ generated by Log-Dini-type parametric Marcinkiewicz integral operators with RBMO functions on . addition, Morrey spaces $M^{q}_{p}(\mu q , $1< p \leq q< \infty $ 1 < ≤ ∞ is also obtained for parameter $0<\rho <\infty 0
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2021
ISSN: ['1025-5834', '1029-242X']
DOI: https://doi.org/10.1186/s13660-021-02651-6