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  1. No Access

    Article

    Marcinkiewicz Integrals with Non-Doubling Measures

    Let μ be a positive Radon measure on \({\mathbb{R}}^d\) which may be non doubling. The only condition that μ must s...

    Guoen Hu, Haibo Lin, Dachun Yang in Integral Equations and Operator Theory (2007)

  2. Article

    Open Access

    Boundedness of Parametrized Littlewood-Paley Operators with Nondoubling Measures

    Let be a nonnegative Radon measure on which only satisfies...

    Haibo Lin, Yan Meng in Journal of Inequalities and Applications (2008)

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  3. No Access

    Article

    Spaces of type BLO on non-homogeneous metric measure

    Let ( , 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)...

    Haibo Lin, Dachun Yang in Frontiers of Mathematics in China (2011)

  4. No Access

    Article

    Equivalent boundedness of Marcinkiewicz integrals on non-homogeneous metric measure spaces

    Let (X, d,µ) be a metric measure space satisfying the upper doubling condition and the geometrically doubling condition in the sense of Hytönen. We prove that the L p ...

    HaiBo Lin, DaChun Yang in Science China Mathematics (2014)

  5. No Access

    Article

    Hardy spaces H p over non-homogeneous metric measure spaces and their applications

    Let (X, d, μ) be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions. Let ρ ∈ (1, ∞), 0 < p ⩽ 1 ⩽ q ⩽ ∞, p ≠ q, γ ∈ [1, ∞) and ε ∈ (0, ∞). In this paper, the author...

    **ng Fu, HaiBo Lin, DaChun Yang, DongYong Yang in Science China Mathematics (2015)

  6. No Access

    Article

    Sharp weighted bounds for the Hardy–Littlewood maximal operators on Musielak–Orlicz spaces

    Let \({\varphi}\) φ ...

    Haibo Lin in Archiv der Mathematik (2016)

  7. No Access

    Article

    Boundedness of certain commutators over non-homogeneous metric measure spaces

    Let \((\mathcal {X},d,\mu )\) ( ...

    Haibo Lin, Suqing Wu, Dachun Yang in Analysis and Mathematical Physics (2017)

  8. No Access

    Article

    Weighted Norm Inequalities for Local Fractional Integrals on Gaussian Measure Spaces

    In this paper, the authors establish the weighted norm inequalities associated with the local Muckenhoupt weights for the local fractional integrals on Gaussian measure spaces. More precisely, the authors firs...

    Haibo Lin, Shengchen Mao in Potential Analysis (2020)

  9. No Access

    Article

    Weighted estimates for iterated commutators of multilinear Calderón-Zygmund operators on non-homogeneous metric measure spaces

    Let ( \({\cal X}\) X , d,μ) be a non-homogeneous metric measure space satisfy...

    Yuan Zhao, Haibo Lin, Yan Meng in Science China Mathematics (2021)

  10. No Access

    Article

    Boundedness of commutators of \(\theta \) -type Calderón–Zygmund operators on generalized weighted Morrey spaces over RD-spaces

    Let \(({\mathcal {X}},\,d,\,\mu )\) ( X , ...

    Qiumeng Li, Haibo Lin, **nyu Wang in Analysis and Mathematical Physics (2021)