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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Vector-valued non-homogeneous Tb theorem on metric measure spaces [PDF]
, 2010 We prove a vector-valued non-homogeneous Tb theorem on certain quasimetric spaces equipped with what we call an upper doubling measure. Essentially, we merge recent techniques from the domain and range side of things, achieving a Tb theorem which is ...
Henri Martikainen
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GENERALIZED FRACTIONAL INTEGRALS AND THEIR COMMUTATORS OVER NON-HOMOGENEOUS METRIC MEASURE SPACES [PDF]
Taiwanese Journal of Mathematics, 2014 Taiwanese J. Math. (to appear)
Xing Fu, Dachun Yang, Wen Yuan
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The boundedness of Marcinkiewicz integrals commutators on non-homogeneous metric measure spaces [PDF]
Journal of Inequalities and Applications, 2015 Let \((\mathcal{X},d,\mu)\) be a metric measure space satisfying the upper doubling condition and geometrically doubling condition in the sense of Hytonen. In this paper, the authors establish the boundedness of the commutator generated by the \(\operatorname {RBMO}(\mu)\) function and the Marcinkiewicz integral with kernel satisfying a Hormander-type ...
Yonghui Cao, Jiang Zhou
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Boundedness of Calderón–Zygmund Operators on Non-homogeneous Metric Measure Spaces [PDF]
Canadian Journal of Mathematics, 2011 AbstractLet (𝒳,d, μ) be a separable metric measure space satisfying the known upper doubling condition, the geometrical doubling condition, and the non-atomic condition that μ(﹛x﹜) = 0 for allx∈ 𝒳. In this paper, we show that the boundedness of a Calderón–Zygmund operatorTonL2(μ) is equivalent to that ofTonLp(μ) for somep∈ (1,∞), and that ofTfromL1(μ ...
Tuomas Hytönen +3 more
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Multilinear fractional integral operators on non-homogeneous metric measure spaces [PDF]
Journal of Inequalities and Applications, 2016 En este trabajo, se obtiene la delimitación en espacios de Lebesgue para operadores integrales fraccionarios multilineales y conmutadores generados por integrales fraccionarias multilineales con una función $\operatorname{RBMO}(\mu)$ en espacios de medida métrica no homogéneos.
Huajun Gong, Rulong Xie, Chen Xu
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Weighted Morrey spaces on non-homogeneous metric measure spaces
Journal of Mathematical Analysis and Applications, 2017 Abstract Let ( X , d , μ ) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. In this setting, the authors introduce the weighted Morrey space and the weighted weak Morrey space, and show several properties of these spaces.
Yu Yan, Jie Chen, Haibo Lin
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