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An interpolation theorem for sublinear operators on non-homogeneous metric measure spaces

Banach Journal of Mathematical Analysis, 2012
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 ${\
Haibo Lin, Dongyong Yang
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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 ...
Suile Liu, Yan Meng, Dachun Yang
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Hardy spaces H p over non-homogeneous metric measure spaces and their applications [PDF]

Science China Mathematics, 2015
Let $({\mathcal X},d, )$ be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.
Xing Fu, Haibo Lin, Dachun Yang, Dongyong Yang   +3 more
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Boundedness of Calderón–Zygmund operators on non-homogeneous metric measure spaces: Equivalent characterizations

Journal of Mathematical Analysis and Applications, 2011
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(
Suile Liu, Dachun Yang, Dongyong Yang
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Commutators of multilinear strongly singular integrals on non-homogeneous metric measure spaces [PDF]

Open Mathematics, 2021
Abstract Let ( X , d ,
Hailian Wang, Rulong Xie
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Commutators of multilinear $ \theta $-type generalized fractional integrals on non-homogeneous metric measure spaces

AIMS Mathematics, 2022
<abstract><p>Let $ {\mathcal{I}_{\alpha, m}} $ be the multilinear $ \theta $-type generalized fractional integrals and $ \vec{b}_{\sigma} $ be the vector with each $ b_{\sigma_{i}} \in \widetilde{{\rm{RBMO}}}\left(\mu\right) $. The boundedness for $ {\mathcal{I}_{\alpha, m}} $ and the iterated multi-commutators $ {\mathcal{I}_{\alpha, m ...
Xiangxing Tao, Jiahui Wang
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Weak estimates for the maximal and Riesz potential operators on non-homogeneous central Morrey type spaces in L^1 over metric measure spaces

Annales Academiae Scientiarum Fennicae Mathematica, 2020
Katsuo Matsuoka, Yoshihiro Mizuta, Tetsu Shimomura   +2 more
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Commutators of multilinear singular integral operators on non-homogeneous metric measure spaces

, 2013
Rulong Xie, Huajun Gong, Xiaoyao Zhou
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No-Signaling in Steepest Entropy Ascent: A Nonlinear, Non-Local, Non-Equilibrium Quantum Dynamics of Composite Systems Strongly Compatible with the Second Law. [PDF]

Entropy (Basel)
Ray RK, Beretta GP.
europepmc   +1 more source

Deep oscillation therapy enhances early rehabilitation after ACL reconstruction: a randomized controlled trial. [PDF]

J Rehabil Med
Oestervemb K, Trybulski R, Szczygieł E, Szczygielska-Babiuch A, Kacprzak B, Hagner-Drengowska M.   +5 more
europepmc   +1 more source