Results 21 to 30 of about 3,653 (106)
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 ...
Li, Haoyuan, Lin, Haibo
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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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Spaces of Type BLO on Non-homogeneous Metric Measure Spaces
, 2010 Front. Math. China (to appear)
Lin, Haibo, Yang, Dachun
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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
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Spectral multipliers via resolvent type estimates on non-homogeneous metric measure spaces [PDF]
Mathematische Zeitschrift, 2019 15 ...
Peng Chen, Adam Sikora, Lixin Yan
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Journal of Mathematical Analysis and Applications, 2012 The authors discuss the boundedness of Calderón-Zygmund operators on non-homogeneous metric measure spaces. They prove that the boundedness of Calderón-Zygmund operators on \(L^2\) is equivalent to either the boundedness of \(T\) from the atomic Hardy space \(H^1\) to \(L^{1,\infty}\) or from \(H^1\) to \(L^1\) on the measure space \((X,d,\mu)\) in the
Liu, Suile, Yang, Dachun, Yang, Dongyong
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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 $\mathrm{RBMO}(\mu)$.
TAO XiangXing, ZHENG TaoTao
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Boundedness of fractional integral operators on non-homogeneous metric measure spaces
, 2013 26 ...
Xie, Rulong, Shu, Lisheng
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Electronic Journal of Differential Equations, 2007 The paper studies energy functionals on quasimetric spaces, defined by quadratic measure-valued Lagrangeans. This general model of medium, known as metric fractals, includes nested fractals and sub-Riemannian manifolds.
Kyril Tintarev
doaj
Boundedness of Commutators on Hardy Spaces over Metric Measure Spaces of Non-homogeneous Type
, 2015 34 pages, Submitted.
Lin, Haibo, Wu, Suqing, Yang, Dachun
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