Results 211 to 220 of about 801,210 (251)
In this paper, the authors establish the (Lp(μ), Lq(μ))-type estimate for fractional commutator generated by fractional integral operators Tα with Lipschitz functions (b ∈ Lipβ (μ)), where 1
Bo-lin Ma, Ding-huai Wang, Jiang Zhou
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Fractional Type Marcinkiewicz Commutators Over Non-Homogeneous Metric Measure Spaces [PDF]
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
S. Tao, G.-H. Lu
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Boundedness of θ-type Calderón-Zygmund operators on non homogeneous metric measure space
Let (X, d, µ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hytonen. Under this assumption, we prove that θ-type Calderon-Zygmund operators which are bounded on L 2(µ) are also bounded from L ∝(µ) into RBMO(µ) and from H at 1,∞ (µ) into L 1(µ).
Chol Ri, Zhenqiu Zhang
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Abstract Let ( 𝒳 , d , μ )
Yan Meng, Guoen Hu, Dachun Yang
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Boundedness of certain commutators over non-homogeneous metric measure spaces [PDF]
Let $$(\mathcal {X},d,\mu )$$ be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. Let T be a Calderon-Zygmund operator with kernel satisfying
Suqing Wu, Haibo Lin, Dachun Yang
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The John–Nirenberg Inequality for the Regularized BLO Space on Non-homogeneous Metric Measure Spaces [PDF]
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 $\widetilde{\operatorname{RBLO}}(\unicode[STIX]{x1D707})$.
Haibo Lin, Zhen Liu, Chenyan Wang
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Spaces of type BLO on non-homogeneous metric measure
Frontiers of Mathematics in China, 2011Let (Open image in new window, d, µ) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. In this paper, we introduce the space RBLO(µ) and prove that it is a subset of the known space RBMO(µ) in this context.
Haibo Lin, Dachun Yang
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Weighted estimates for iterated commutators of multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces [PDF]
Let ( $${\cal X}$$ , d,μ) be a non-homogeneous metric measure space satisfying the so-called upper doubling and geometrically doubling conditions, which includes the space of homogeneous type and the Euclidean space with the non-doubling measure as special ...
Haibo Lin, Yan Meng, Yuan Zhao
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Boundedness of parametric Marcinkiewicz integrals \\ on non-homogeneous metric measure spaces
SCIENTIA SINICA Mathematica, 2016Let $(\cx, d, \mu)$ 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 ...
HaiBo Lin, HengLiang Fu, Yan Meng
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Chinese Annals of Mathematics, Series B, 2019
Let (X, d, μ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hytonen. In this paper, the authors obtain the boundedness of the commutators of θ-type Calderon-Zygmund operators with RBMO functions from L∞ (μ) into RBMO(μ) and from
Zhenqiu Zhang, Chol Ri
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Let (X, d, μ) be a metric measure space satisfying both the upper doubling and the geometrically doubling conditions in the sense of Hytonen. In this paper, the authors obtain the boundedness of the commutators of θ-type Calderon-Zygmund operators with RBMO functions from L∞ (μ) into RBMO(μ) and from
Zhenqiu Zhang, Chol Ri
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