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Boundedness of Commutators of θ-Type Calderón-Zygmund Operators on Non-homogeneous Metric Measure Spaces

Chinese Annals of Mathematics Series B, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhenqiu Zhang, Zhang Zhenqiu
exaly   +3 more sources

Fractional Type Marcinkiewicz Commutators Over Non-Homogeneous Metric Measure Spaces

Analysis Mathematica, 2018
The main purpose of this paper is to establish the boundedness of the commutator $$\mathcal{M}_{\beta,\rho,m,b}$$ generated by the fractional type Marcinkiewicz integral
G. Lu, S. Tao
exaly   +2 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, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
, Dongyong Yang
exaly   +3 more sources

Endpoint estimates of generalized homogeneous Littlewood–Paley g-functions over non-homogeneous metric measure spaces

Acta Mathematica Sinica, English Series, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xing Fu, Fu Xing
exaly   +2 more sources

Boundedness of Strongly Singular Integral Operators on Non-Homogenous Metric Measure Spaces

Analysis Mathematica, 2022
Our spaces are subsets of \(\mathbb{R}^n\). Singular integral operators have been studied on spaces of homogeneous type in which the measure on the space is doubling, (i.e. that there is a constant \(C>0\) such that \(\mu(B(x, 2r) \leq C \mu B(x,r)\), for all \(x \in\)supp\(\ \mu\), and \(r>0\)).
Wang, H., Xie, R.
openaire   +2 more sources

Spaces of type BLO on non-homogeneous metric measure

Frontiers of Mathematics in China, 2011
Let \(({\mathcal X},d,\mu)\) be a non-homogeneous metric measure space. The main purpose of this paper is to introduce the space \(\text{RBLO}(\mu)\) and prove that it is a subset of the space \(\text{RBMO}(\mu)\) in this context. Moreover, the authors establish several useful results for the space \(\text{RBLO}(\mu)\).
Lin, Haibo, Yang, Dachun
openaire   +1 more source

The John–Nirenberg Inequality for the Regularized BLO Space on Non-homogeneous Metric Measure Spaces

Canadian Mathematical Bulletin, 2019
AbstractLet $({\mathcal{X}},d,\unicode[STIX]{x1D707})$ be a metric measure space satisfying the geometrically doubling condition and the upper doubling condition. In this paper, the authors establish the John-Nirenberg inequality for the regularized BLO space $\widetilde{\operatorname{RBLO}}(\unicode[STIX]{x1D707})$.
Lin, Haibo, Liu, Zhen, Wang, Chenyan
openaire   +1 more source

Boundedness of parametric Marcinkiewicz integrals \\ on non-homogeneous metric measure spaces

SCIENTIA SINICA Mathematica, 2016
Let $(\cx, d, \mu)$ be a metric measure space satisfying the upper doubling condition and the geometrically doubling condition in the sense of Hytonen. In this paper, we introduce the parametric Marcinkiewicz integral in $(\cx, d, \mu)$. Under the assumption that the parametric Marcinkiewicz integral is bounded on $L^{p_0}(\mu)$ for some $p_0\in(1 ...
FU HengLiang, LIN HaiBo, MENG Yan
openaire   +1 more source

Lipschitz estimates for commutator of fractional integral operators on non-homogeneous metric measure spaces

Applied Mathematics-A Journal of Chinese Universities, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Ding-huai, Zhou, Jiang, Ma, Bo-lin
openaire   +2 more sources

Weighted norm inequalities for multilinear Calderón–Zygmund operators on non-homogeneous metric measure spaces

Forum Mathematicum, 2012
Abstract Let ( 𝒳 , d , μ )
Guoen Hu, Yan Meng, Dachun Yang
openaire   +1 more source

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