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 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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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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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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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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Maximal Multilinear Commutators on Non-homogeneous Metric Measure Spaces
Taiwanese Journal of Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jie Chen, Haibo Lin
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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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Hardy spaces H p over non-homogeneous metric measure spaces and their applications [PDF]
Science China Mathematics, 2015 Let $({\mathcal X},d, )$ be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.
Xing Fu +3 more
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AIMS Mathematics, 2022 <abstract><p>Let $ {\mathcal{I}_{\alpha, m}} $ be the multilinear $ \theta $-type generalized fractional integrals and $ \vec{b}_{\sigma} $ be the vector with each $ b_{\sigma_{i}} \in \widetilde{{\rm{RBMO}}}\left(\mu\right) $. The boundedness for $ {\mathcal{I}_{\alpha, m}} $ and the iterated multi-commutators $ {\mathcal{I}_{\alpha, m ...
Xiangxing Tao, Jiahui Wang
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