Results 211 to 220 of about 196,370 (247)

Spaces of type BLO on non-homogeneous metric measure

Frontiers of Mathematics in China, 2011
Let \(({\mathcal X},d,\mu)\) be a non-homogeneous metric measure space. The main purpose of this paper is to introduce the space \(\text{RBLO}(\mu)\) and prove that it is a subset of the space \(\text{RBMO}(\mu)\) in this context. Moreover, the authors establish several useful results for the space \(\text{RBLO}(\mu)\).
Lin, Haibo, Yang, Dachun
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Boundedness of Calderón–Zygmund operators on non-homogeneous metric measure spaces: Equivalent characterizations

Journal of Mathematical Analysis and Applications, 2011
The authors discuss the boundedness of Calderón-Zygmund operators on non-homogeneous metric measure spaces. They prove that the boundedness of Calderón-Zygmund operators on \(L^2\) is equivalent to either the boundedness of \(T\) from the atomic Hardy space \(H^1\) to \(L^{1,\infty}\) or from \(H^1\) to \(L^1\) on the measure space \((X,d,\mu)\) in the
Suile Liu, Dachun Yang, Dongyong Yang
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Lipschitz estimates for commutator of fractional integral operators on non-homogeneous metric measure spaces

Applied Mathematics-A Journal of Chinese Universities, 2020
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Dinghuai Wang, Jiang Zhou, Bolin Ma
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Boundedness of certain commutators over non-homogeneous metric measure spaces

Analysis and Mathematical Physics, 2016
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Haibo Lin, Suqing Wu, Dachun Yang
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The John–Nirenberg Inequality for the Regularized BLO Space on Non-homogeneous Metric Measure Spaces

Canadian Mathematical Bulletin, 2019
AbstractLet $({\mathcal{X}},d,\unicode[STIX]{x1D707})$ be a metric measure space satisfying the geometrically doubling condition and the upper doubling condition. In this paper, the authors establish the John-Nirenberg inequality for the regularized BLO space $\widetilde{\operatorname{RBLO}}(\unicode[STIX]{x1D707})$.
Lin, Haibo, Liu, Zhen, Wang, Chenyan
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Boundedness of parametric Marcinkiewicz integrals \\ on non-homogeneous metric measure spaces

SCIENTIA SINICA Mathematica, 2016
Let $(\cx, d, \mu)$ be a metric measure space satisfying the upper doubling condition and the geometrically doubling condition in the sense of Hytonen. In this paper, we introduce the parametric Marcinkiewicz integral in $(\cx, d, \mu)$. Under the assumption that the parametric Marcinkiewicz integral is bounded on $L^{p_0}(\mu)$ for some $p_0\in(1 ...
Fu Hengliang, Haibo Lin, Meng Yan
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Fractional Type Marcinkiewicz Commutators Over Non-Homogeneous Metric Measure Spaces

Analysis Mathematica, 2018
The main purpose of this paper is to establish the boundedness of the commutator $$\mathcal{M}_{\beta,\rho,m,b}$$ generated by the fractional type Marcinkiewicz integral
Guanghui Lü, Shuangping Tao
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Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces [PDF]

Mathematische Zeitschrift, 2019
15 ...
Peng Chen, Adam Sikora, Lixin Yan
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Boundedness of θ-type Calderón-Zygmund operators on non homogeneous metric measure space

Frontiers of Mathematics in China, 2015
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Ri, Chol, Zhang, Zhenqiu
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Endpoint estimates of generalized homogeneous Littlewood–Paley g-functions over non-homogeneous metric measure spaces

Acta Mathematica Sinica, English Series, 2016
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Xing Fu, Ji Man Zhao
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