Boundedness of fractional integral operators on non-homogeneous metric measure spaces [PDF]
, 2013 26 ...
Rulong Xie, Shu Li-sheng
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Vector-valued non-homogeneous $Tb$ theorem on metric measure spaces
Revista Matemática Iberoamericana, 2012 We prove a vector-valued non-homogeneous Tb theorem on certain quasimetric spaces equipped with what we call an upper doubling measure. Essentially, we merge recent techniques from the domain and range side of things, achieving a
Henri Martikainen
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Boundedness of Commutators on Hardy Spaces over Metric Measure Spaces of Non-homogeneous Type [PDF]
, 2015 34 pages, Submitted.
Haibo Lin, Suqing Wu, Dachun Yang
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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.
Yaoyao Han, Kai Zhao
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Boundedness of Marcinkiewicz integrals on Hardy spaces H^p over non-homogeneous metric measure spaces [PDF]
Journal of Mathematical Inequalities, 2018 Summary: Under the assumption that \((\mathcal{X}, d, \mu)\) is a non-homogeneous metric measure space, the authors prove that the Marcinkiewicz integral operator is bounded from the molecular Hardy space \(\tilde{H}_{mb,\rho}^{p,q\gamma,\varepsilon}(\mu)\)(or the atomic Hardy space \(\tilde{H}_{atb,\rho}^{p,q,\gamma}(\mu))\) into the Lebesgue space ...
Haoy an Li, Haibo Lin
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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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Boundedness for iterated commutators of multilinear singular integrals of Dini's type on non-homogeneous metric measure spaces [PDF]
SCIENTIA SINICA Mathematica, 2017 Assume that $(\mathcal X, d, \mu)$ is a geometrically doubling metric space and the measure $\mu$ is an upper doubling measure. This paper focuses on studying the boundedness of iterated commutators, which is generated by multilinear singular integral operators with the function $\bm{b}$ in $\mathrm{RBMO}(\mu)$.
Xiangxing Tao, Taotao Zheng
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Weighted Morrey spaces on non-homogeneous metric measure spaces
Journal of Mathematical Analysis and Applications, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu Yan, Jie Chen, Haibo Lin
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Annales Academiae Scientiarum Fennicae Mathematica, 2020 The authors provide weak \(M^{1,q,a}(X)\)-estimates for the maximal and Riesz potential operators. Under certain assumptions on the growth of the measures of balls in \(X\) (which hold in the Euclidean setting), it is shown in Theorems 3.3 and 4.6 that the maximal operator and the Riesz potential operator are bounded from \(M^{1,q,a}(X)\) to \(WM ...
Katsuo Matsuoka +2 more
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Initial Conditions in String Cosmology [PDF]
, 1998 We take a critical look at a recent conjecture concerning the past attractor in the pre-big-bang scenario. We argue that the Milne universe is unlikely to be a general past attractor for such models and support this with a number of examples.Comment: 10 ...
A. Buonanno +31 more
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