Results 21 to 30 of about 801,210 (251)

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 operators with the function $\bm{b}$ in $\mathrm{RBMO}(\mu)$.
Tao XiangXing, Zheng TaoTao
openaire   +2 more sources

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

Science China Mathematics, 2013
Let $({\mathcal X},\,d,\, )$ be a metric measure space satisfying the upper doubling condition and the geometrically doubling condition in the sense of T. Hyt nen. In this paper, the authors prove that the $L^p( )$ boundedness with $p\in(1,\,\infty)$ of the Marcinkiewicz integral is equivalent to either of its boundedness from $L^1( )$ into $L^{1 ...
Dachun Yang, Haibo Lin
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Spaces of Type BLO on Non-homogeneous Metric Measure Spaces

, 2010
Let $({\mathcal X}, d, )$ be a metric measure space and satisfy the so-called upper doubling condition and the geometrically doubling condition. In this paper, the authors introduce the space ${\mathop\mathrm{RBLO}}( )$ and prove that it is a subset of the known space ${\mathop\mathrm{RBMO}}( )$ in this context.
Lin, Haibo, Yang, Dachun
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Boundedness of fractional integral operators on non-homogeneous metric measure spaces

, 2013
26 ...
Xie, Rulong, Shu, Lisheng
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The molecular characterization of the Hardy space H1 on non-homogeneous metric measure spaces and its application

Journal of Mathematical Analysis and Applications, 2014
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]
Fu, Xing, Yang, Dachun, Yang, Dongyong
openaire   +3 more sources

Commutators of multilinear $ \theta $-type generalized fractional integrals on non-homogeneous metric measure spaces

AIMS Mathematics, 2022
<abstract><p>Let $ {\mathcal{I}_{\alpha, m}} $ be the multilinear $ \theta $-type generalized fractional integrals and $ \vec{b}_{\sigma} $ be the vector with each $ b_{\sigma_{i}} \in \widetilde{{\rm{RBMO}}}\left(\mu\right) $. The boundedness for $ {\mathcal{I}_{\alpha, m}} $ and the iterated multi-commutators $ {\mathcal{I}_{\alpha, m ...
Xiangxing Tao, Jiahui Wang
openaire   +3 more sources

Boundedness of Commutators on Hardy Spaces over Metric Measure Spaces of Non-homogeneous Type

, 2015
34 pages, Submitted.
Lin, Haibo, Wu, Suqing, Yang, Dachun
openaire   +4 more sources

Boundedness of Marcinkiewicz integrals on Hardy spaces H^p over non-homogeneous metric measure spaces [PDF]

Journal of Mathematical Inequalities, 2018
Ha bo Lin, Haoy an Li
openaire   +2 more sources

Weak estimates for the maximal and Riesz potential operators on non-homogeneous central Morrey type spaces in L^1 over metric measure spaces

Annales Academiae Scientiarum Fennicae Mathematica, 2020
Katsuo Matsuoka, Yoshihiro Mizuta, Tetsu Shimomura   +2 more
openaire   +3 more sources

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   +1 more source