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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Multilinear fractional integral operators on non-homogeneous metric measure spaces [PDF]
arXiv, 2016 Let $(X,d,\mu)$ be a non-homogeneous metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions. In this paper, the boundedness of multilinear fractional integral operator in this setting is proved. Via a sharp maximal operator, the boundedness of commutators generated by multilinear fractional integral ...
Rulong Xie +3 more
arxiv +8 more sources
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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GENERALIZED FRACTIONAL INTEGRALS AND THEIR COMMUTATORS OVER NON-HOMOGENEOUS METRIC MEASURE SPACES [PDF]
Taiwanese Journal of Mathematics, 2014 Taiwanese J. Math. (to appear)
Fu, Xing, Yang, Dachun, Yuan, Wen
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Boundedness of Calderón–Zygmund Operators on Non-homogeneous Metric Measure Spaces [PDF]
Canadian Journal of Mathematics, 2012 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 ...
Hytonen, Tuomas +3 more
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Non-homogeneous Tb Theorem and Random Dyadic Cubes on Metric Measure Spaces [PDF]
Journal of Geometric Analysis, 2011 We prove a Tb theorem on quasimetric spaces equipped with what we call an upper doubling measure. This is a property that encompasses both the doubling measures and those satisfying the upper power bound (B(x,r)) \le Cr^d. Our spaces are only assumed to satisfy the geometric doubling property: every ball of radius r can be covered by at most N balls ...
Tuomas Hytönen, Henri Martikainen
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COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS ON NON-HOMOGENEOUS METRIC MEASURE SPACES [PDF]
Taiwanese Journal of Mathematics, 2015 Let $(X,d, )$ be a metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions, which is called non-homogeneous metric measure space. In this paper, via a sharp maximal operator, the boundedness of commutators generated by multilinear singular integral with $RBMO( )$ function on non-homogeneous metric ...
Xie, Rulong, Gong, Huajun, Zhou, Xiaoyao
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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 ...
Zhou Jiang, Cao Yonghui
openaire +3 more sources