Weighted Morrey spaces on non-homogeneous metric measure spaces
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Haibo Lin, Yu Yan
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Hardy spaces H p over non-homogeneous metric measure spaces and their applications [PDF]
82 pages, Sci. China Math. (to appear)
Xing Fu, Dongyong Yang
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GENERALIZED FRACTIONAL INTEGRALS AND THEIR COMMUTATORS OVER NON-HOMOGENEOUS METRIC MEASURE SPACES
Taiwanese J. Math. (to appear)
Wen Yuan
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Analysis Mathematica, 2022Our 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 \(r>0\)).
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Spaces of type BLO on non-homogeneous metric measure
Frontiers of Mathematics in China, 2011Let \(({\mathcal X},d,\mu)\) 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 \(\text{RBLO}(\mu)\).
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The John–Nirenberg Inequality for the Regularized BLO Space on Non-homogeneous Metric Measure Spaces
Canadian Mathematical Bulletin, 2019AbstractLet $({\mathcal{X}},d,\unicode[STIX]{x1D707})$ 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 $\widetilde{\operatorname{RBLO}}(\unicode[STIX]{x1D707})$.
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Boundedness of parametric Marcinkiewicz integrals \\ on non-homogeneous metric measure spaces
SCIENTIA SINICA Mathematica, 2016Let $(\cx, d, \mu)$ 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 ...
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