Results 11 to 20 of about 194,812 (251)

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

Science China Mathematics, 2013
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 Lp(µ)-boundedness with p ∈ (1,∞) of the Marcinkiewicz integral is equivalent to either of ...
Haibo Lin, Dachun Yang
semanticscholar   +7 more sources

Boundedness for iterated commutators of multilinear singular integrals of Dini's type on non-homogeneous metric measure spaces [PDF]

SCIENTIA SINICA Mathematica, 2017
Assume that $(\mathcal X, d, \mu)$ is a geometrically doubling metric space and the measure $\mu$ is an upper doubling measure. This paper focuses on studying the boundedness of iterated commutators, which is generated by multilinear singular integral ...
Xiangxing Tao, Taotao Zheng
semanticscholar   +3 more sources

The molecular characterization of the Hardy space H1 on non-homogeneous metric measure spaces and its application

Journal of Mathematical Analysis and Applications, 2013
National Natural Science Foundation of China [11171027, 11101339]; Specialized Research Fund for the Doctoral Program of Higher Education of China [20120003110003]; Natural Science Foundation of Fujian Province of China [2013J01020]; Fundamental Research Funds for Central Universities of China [2013121004]
Xing Fu, Dachun Yang, Dongyong Yang
semanticscholar   +5 more sources

Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces [PDF]

Mathematische Zeitschrift, 2019
We describe a simple but surprisingly effective technique of obtaining spectral multiplier results for abstract operators which satisfy the finite propagation speed property for the corresponding wave equation propagator.
Peng Chen, Adam Sikora, Lixin Yan
semanticscholar   +7 more sources

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, Suile Liu, Dachun Yang, Dongyong Yang   +3 more
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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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Weighted Morrey spaces on non-homogeneous metric measure spaces

Journal of Mathematical Analysis and Applications, 2017
Abstract Let ( X , d , μ ) be a metric measure space satisfying the so-called upper doubling condition and the geometrically doubling condition. In this setting, the authors introduce the weighted Morrey space and the weighted weak Morrey space, and show several properties of these spaces.
Yu Yan, Jie Chen, Haibo Lin
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Fractional Type Marcinkiewicz Integral Operator Associated with Θ-Type Generalized Fractional Kernel and Its Commutator on Non-homogeneous Spaces

Analysis and Geometry in Metric Spaces, 2022
Let (𝒳, d, μ) be a non-homogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. Under assumption that θ and dominating function λ satisfy certain conditions, the authors prove that ...
Lu Guanghui, Tao Shuangping, Wang Miaomiao   +2 more
doaj   +2 more sources

Estimates for bilinear θ-type generalized fractional integral and its commutator on new non-homogeneous generalized Morrey spaces

Analysis and Geometry in Metric Spaces, 2023
Let (X,d,μ)\left({\mathcal{X}},d,\mu ) be a non-homogeneous metric measure space satisfying the geometrically doubling and upper doubling conditions. In this setting, we first introduce a generalized Morrey space Mpu(μ){M}_{p}^{u}\left(\mu ), where 1 ...
Lu Guanghui, Wang Miaomiao, Tao Shuangping   +2 more
doaj   +2 more sources