Results 31 to 40 of about 194,172 (151)

The molecular characterization of the Hardy space H1 on non-homogeneous metric measure spaces and its application

open access: hybridJournal of Mathematical Analysis and Applications, 2013
National Natural Science Foundation of China [11171027, 11101339]; Specialized Research Fund for the Doctoral Program of Higher Education of China [20120003110003]; Natural Science Foundation of Fujian Province of China [2013J01020]; Fundamental Research Funds for Central Universities of China [2013121004]
Xing Fu, Dachun Yang, Dongyong Yang
openalex   +4 more sources

COMMUTATORS OF MULTILINEAR SINGULAR INTEGRAL OPERATORS ON NON-HOMOGENEOUS METRIC MEASURE SPACES [PDF]

open access: hybridTaiwanese Journal of Mathematics, 2015
Let $(X,d, )$ be a metric measure space satisfying both the geometrically doubling and the upper doubling measure conditions, which is called non-homogeneous metric measure space. In this paper, via a sharp maximal operator, the boundedness of commutators generated by multilinear singular integral with $RBMO( )$ function on non-homogeneous metric ...
Rulong Xie, Huajun Gong, Xiaoyao Zhou
openalex   +4 more sources

Fractional Type Marcinkiewicz Integral Operator Associated with Θ-Type Generalized Fractional Kernel and Its Commutator on Non-homogeneous Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2022
Let (𝒳, d, μ) be a non-homogeneous metric measure space satisfying the upper doubling and geometrically doubling conditions in the sense of Hytönen. Under assumption that θ and dominating function λ satisfy certain conditions, the authors prove that ...
Lu Guanghui   +2 more
doaj   +1 more source

Discrete-Time Observations of Brownian Motion on Lie Groups and Homogeneous Spaces: Sampling and Metric Estimation

open access: yesAlgorithms, 2022
We present schemes for simulating Brownian bridges on complete and connected Lie groups and homogeneous spaces. We use this to construct an estimation scheme for recovering an unknown left- or right-invariant Riemannian metric on the Lie group from ...
Mathias Højgaard Jensen   +2 more
doaj   +1 more source

Some estimates for commutators of Littlewood-Paley g-functions

open access: yesOpen Mathematics, 2021
The aim of this paper is to establish the boundedness of commutator [b,g˙r]\left[b,{\dot{g}}_{r}] generated by Littlewood-Paley gg-functions g˙r{\dot{g}}_{r} and b∈RBMO(μ)b\in {\rm{RBMO}}\left(\mu ) on non-homogeneous metric measure space.
Lu Guanghui
doaj   +1 more source

Estimates for bilinear θ-type generalized fractional integral and its commutator on new non-homogeneous generalized Morrey spaces

open access: yesAnalysis 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
doaj   +1 more source

Commutators of θ-type generalized fractional integrals on non-homogeneous spaces

open access: yesJournal 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
doaj   +1 more source

Spread: a measure of the size of metric spaces [PDF]

open access: yes, 2014
Motivated by Leinster-Cobbold measures of biodiversity, the notion of the spread of a finite metric space is introduced. This is related to Leinster's magnitude of a metric space.
Willerton, Simon
core   +1 more source

Radar orthogonality and radar length in Finsler and metric spacetime geometry [PDF]

open access: yes, 2014
The radar experiment connects the geometry of spacetime with an observers measurement of spatial length. We investigate the radar experiment on Finsler spacetimes which leads to a general definition of radar orthogonality and radar length. The directions
Pfeifer, Christian
core   +3 more sources

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