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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
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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
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Non-homogeneous Tb Theorem and Random Dyadic Cubes on Metric Measure Spaces [PDF]
Journal of Geometric Analysis, 2011 34 ...
Martikainen Henri, Hytonen Tuomas
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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
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Commutators of θ-type generalized fractional integrals on non-homogeneous spaces
Journal of Inequalities and Applications, 2020 The aim of this paper is to establish the boundednes of the commutator [ b , T α ] $[b,T_{\alpha }]$ generated by θ-type generalized fractional integral T α $T_{\alpha }$ and b ∈ RBMO ˜ ( μ ) $b\in \widetilde{\mathrm{RBMO}}(\mu )$ over a non-homogeneous ...
Guanghui Lu
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Inhomogeneous parabolic equations on unbounded metric measure spaces [PDF]
, 2012 We study the inhomogeneous semilinear parabolic equation ut = Δu + up + f(x), with source term f independent of time and subject to f(x) ≥ 0 and with u(0, x) = φ(x) ≥ 0, for the very general setting of a metric measure space. By establishing Harnack-type
Hu, Jiaxin +5 more
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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
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Commutators of multilinear strongly singular integrals on nonhomogeneous metric measure spaces [PDF]
Open Mathematics, 2021 Abstract Let ( X , d ,
Wang Hailian, Xie Rulong
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Minimal homogeneous submanifolds in euclidean spaces [PDF]
, 2002 We prove that minimal (extrinsically) homogeneous submanifolds of the Euclidean space are totally geodesic. As an application, we obtain that a complex (intrisecally) homogeneous submanifold of a complex Euclidean space must be totally ...
Di Scala, Antonio Jose'
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Naturally reductive homogeneous $(\alpha ,\beta )$-metric spaces
, 2021 summary:In the present paper we study naturally reductive homogeneous $(\alpha ,\beta )$-metric spaces. We show that for homogeneous $(\alpha ,\beta )$-metric spaces, under a mild condition, the two definitions of naturally reductive homogeneous Finsler ...
Parhizkar, M., Salimi Moghaddam, H.R.
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