Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces [PDF]
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Peng Chen, Adam Sikora, Lixin Yan
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Vector-valued non-homogeneous $Tb$ theorem on metric measure spaces
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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Weighted Morrey spaces on non-homogeneous metric measure spaces
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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Herz type Hardy spaces on non-homogeneous metric measure space [PDF]
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.
Zhao Kai, Han Yaoyao
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Maximal Multilinear Commutators on 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 the maximal Calderon-Zygmund operator and $\vec{b} := (b_1,\ldots,b_m)$ be a finite family of $\widetilde{\operatorname{RBMO}}(\mu)$ functions.
Chen, Jie, Lin, Haibo
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An interpolation theorem for sublinear operators on non-homogeneous metric measure spaces
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 establish an interpolation result that a sublinear operator which is bounded from the Hardy space $H^1( )$ to $L^{1,\,\infty}( )$ and from $L^\infty( )$ to the BMO-type space ${\
Lin, Haibo, Yang, Dongyong
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Boundedness of maximal Calderón–Zygmund operators on non-homogeneous metric measure spaces [PDF]
Let (X, d, μ) be a metric measure space and let it satisfy the so-called upper doubling condition and the geometrically doubling condition. We show that, for the maximal Calderón–Zygmund operator associated with a singular integral whose kernel satisfies the standard size condition and the Hörmander condition, its Lp(μ)-boundedness with p ∈ (1, ∞) is ...
Suile Liu, Dachun Yang, Yan Meng
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Hardy spaces H p over non-homogeneous metric measure spaces and their applications [PDF]
Let $({\mathcal X},d, )$ be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.
Haibo Lin+3 more
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Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces [PDF]
Abstract Let ( X , d ,
Wang Hailian, Xie Rulong
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AbstractLet (X,d,μ) be a metric measure space satisfying the upper doubling and the geometrically doubling conditions in the sense of T. Hytönen. In this paper, the authors prove that the boundedness of a Calderón–Zygmund operator T on L2(μ) is equivalent to either of the boundedness of T from the atomic Hardy space H1(μ) to L1,∞(μ) or from H1(μ) to L1(
Liu, Suile, Yang, Dachun, Yang, Dongyong
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