Commutators of log-Dini-type parametric Marcinkiewicz operators on non-homogeneous metric measure spaces [PDF]
Journal of Inequalities and Applications, 2021 Let ( X , d , μ ) $(\mathcal{X}, d, \mu )$ be a non-homogeneous metric measure space, which satisfies the geometrically doubling condition and the upper doubling condition.
Tao Xiangxing, Zhang Qiange
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Multilinear strongly singular integral operators on non-homogeneous metric measure spaces [PDF]
Journal of Inequalities and Applications, 2022 Let ( X , d , μ ) $(X,d,\mu )$ be a non-homogeneous metric measure space satisfying the geometrically and upper doubling measure conditions. In this paper, the boundedness in Lebesgue spaces for multilinear strongly singular integral operators on non ...
Hailian Wang, Rulong Xie
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Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces [PDF]
Journal of Inequalities and Applications, 2016 The main goal of the paper is to establish the boundedness of the fractional type Marcinkiewicz integral M β , ρ , q $\mathcal{M}_{\beta,\rho,q}$ on non-homogeneous metric measure space which includes the upper doubling and the geometrically doubling ...
Guanghui Lu, Shuangping Tao
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Commutators of Littlewood-Paley gκ∗$g_{\kappa}^{*} $-functions on non-homogeneous metric measure spaces [PDF]
Open Mathematics, 2017 The main purpose of this paper is to prove that the boundedness of the commutator Mκ,b∗$\mathcal{M}_{\kappa,b}^{*} $ generated by the Littlewood-Paley operator Mκ∗$\mathcal{M}_{\kappa}^{*} $ and RBMO (μ) function on non-homogeneous metric measure ...
Lu Guanghui, Tao Shuangping
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Herz type Hardy spaces on non-homogeneous metric measure space [PDF]
SCIENTIA SINICA Mathematica, 2018 Let $(\mathcal{X},d,\mu)$ be a non-homogeneous metric measure spacesatisfying both the geometrically doubling and the upper doublingconditions. In this paper, the Herz spaces on the non-homogeneousmetric measure space are introduced.
Yaoyao Han, Kai Zhao
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The boundedness of Marcinkiewicz integrals commutators on non-homogeneous metric measure spaces [PDF]
Journal of Inequalities and Applications, 2015 Let (X,d,μ)$(\mathcal{X},d,\mu)$ be a metric measure space satisfying the upper doubling condition and geometrically doubling condition in the sense of Hytönen.
Yonghui Cao, Jiang Zhou
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An interpolation theorem for sublinear operators on non-homogeneous metric measure spaces [PDF]
Banach Journal of Mathematical Analysis, 2012 Let (X;d; ) be a metric measure space and satisfy the so-called upper doubling condition and the geometrically doubling condition. In this paper, the authors establish an interpolation result that a sublinear operator which is bounded from the Hardy ...
Haibo Lin, Dongyong Yang
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Maximal Multilinear Commutators on Non-homogeneous Metric Measure Spaces [PDF]
Taiwanese Journal of Mathematics, 2017 . Let ( X , d, µ ) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. Let T ∗ be the maximal Calder´on-Zygmund operator and (cid:126)b := ( b 1 , . . .
Jie Chen, Haibo Lin
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Hardy spaces H p over non-homogeneous metric measure spaces and their applications [PDF]
Science China Mathematics, 2015 Let (X, d, μ) be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions. Let ρ ∈ (1, ∞), 0 < p ⩽ 1 ⩽ q ⩽ ∞, p ≠ q, γ ∈ [1, ∞) and ε ∈ (0, ∞).
Xing Fu +3 more
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Boundedness of maximal Calderón–Zygmund operators on non-homogeneous metric measure spaces [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2014 Let (X, d, μ) be a metric measure space and let it satisfy the so-called upper doubling condition and the geometrically doubling condition. We show that, for the maximal Calderón–Zygmund operator associated with a singular integral whose kernel satisfies the standard size condition and the Hörmander condition, its Lp(μ)-boundedness with p ∈ (1, ∞) is ...
Suile Liu, Yan Meng, Dachun Yang
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