Herz type Hardy spaces on non-homogeneous metric measure space [PDF]
SCIENTIA SINICA Mathematica, 2018 Let $(\mathcal{X},d,\mu)$ be a non-homogeneous metric measure spacesatisfying both the geometrically doubling and the upper doublingconditions. In this paper, the Herz spaces on the non-homogeneousmetric measure space are introduced. Then the decomposition of theHerz space by the central blocks is obtained.
Yaoyao Han, Kai Zhao
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Vector-valued non-homogeneous $Tb$ theorem on metric measure spaces
Revista Matemática Iberoamericana, 2012 We prove a vector-valued non-homogeneous Tb theorem on certain quasimetric spaces equipped with what we call an upper doubling measure. Essentially, we merge recent techniques from the domain and range side of things, achieving a Tb ...
Henri Martikainen
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Maximal Multilinear Commutators on Non-homogeneous Metric Measure Spaces [PDF]
Taiwanese Journal of Mathematics, 2017 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 the maximal Calderon-Zygmund operator and $\vec{b} := (b_1,\ldots,b_m)$ be a finite family of $\widetilde{\operatorname{RBMO}}(\mu)$ functions.
Jie Chen, Haibo Lin
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Boundedness of Marcinkiewicz integrals on Hardy spaces H^p over non-homogeneous metric measure spaces [PDF]
Journal of Mathematical Inequalities, 2018 Haoy an Li, 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.
Haibo Lin, Dachun Yang
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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 $\mathrm{RBMO}(\mu)$.
Xiangxing Tao, Taotao Zheng
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Boundedness of fractional integral operators on non-homogeneous metric measure spaces
, 2013 26 ...
Rulong Xie, Shu Li-sheng
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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 ...
Haibo Lin, Dachun Yang
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Non-homogeneous Tb Theorem and Random Dyadic Cubes on Metric Measure Spaces [PDF]
Journal of Geometric Analysis, 2011 We prove a Tb theorem on quasimetric spaces equipped with what we call an upper doubling measure. This is a property that encompasses both the doubling measures and those satisfying the upper power bound (B(x,r)) \le Cr^d. Our spaces are only assumed to satisfy the geometric doubling property: every ball of radius r can be covered by at most N balls ...
Tuomas Hytönen, Henri Martikainen
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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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