An interpolation theorem for sublinear operators on non-homogeneous metric measure spaces [PDF]
Banach Journal of Mathematical Analysis, 2012 Let $({\mathcal X}, d, μ)$ 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 $H^1(μ)$ to $L^{1,\,\infty}(μ)$ and from $L^\infty(μ)$ to the BMO-type space ...
Lin, Haibo, Yang, Dongyong
openaire +7 more sources
Boundedness of Calderón–Zygmund Operators on Non-homogeneous Metric Measure Spaces [PDF]
Canadian Journal of Mathematics, 2012 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 ...
Hytonen, Tuomas +3 more
openaire +3 more sources
Some estimates for commutators of Littlewood-Paley g-functions
Open Mathematics, 2021 The aim of this paper is to establish the boundedness of commutator [b,g˙r]\left[b,{\dot{g}}_{r}] generated by Littlewood-Paley gg-functions g˙r{\dot{g}}_{r} and b∈RBMO(μ)b\in {\rm{RBMO}}\left(\mu ) on non-homogeneous metric measure space.
Lu Guanghui
doaj +1 more source
Hardy spaces H p over non-homogeneous metric measure spaces and their applications [PDF]
Science China Mathematics, 2015 82 pages, Sci. China Math. (to appear)
Fu, Xing +3 more
openaire +2 more sources
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 +2 more
doaj +1 more source
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.
Han Yaoyao, Zhao Kai
openaire +1 more source
Boundedness of maximal Calderón–Zygmund operators on non-homogeneous metric measure spaces [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2014 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 ...
Liu, Suile, Meng, Yan, Yang, Dachun
openaire +2 more sources
Maximal Multilinear Commutators on Non-homogeneous Metric Measure Spaces
Taiwanese Journal of Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Jie, Lin, Haibo
openaire +3 more sources
Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces [PDF]
Open Mathematics, 2021 Abstract Let ( X , d ,
Wang Hailian, Xie Rulong
openaire +4 more sources
The boundedness of Marcinkiewicz integrals commutators on non-homogeneous metric measure spaces [PDF]
Journal of Inequalities and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yonghui, Cao, Jiang, Zhou
openaire +2 more sources