Results 11 to 20 of about 199,953 (233)

Multilinear strongly singular integral operators on non-homogeneous metric measure spaces

open access: yesJournal of Inequalities and Applications, 2022
Let ( X , d , μ ) $(X,d,\mu )$ be a non-homogeneous metric measure space satisfying the geometrically and upper doubling measure conditions. In this paper, the boundedness in Lebesgue spaces for multilinear strongly singular integral operators on non ...
Hailian Wang, Rulong Xie
doaj   +2 more sources

Fractional type Marcinkiewicz integrals over non-homogeneous metric measure spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2016
The main goal of the paper is to establish the boundedness of the fractional type Marcinkiewicz integral M β , ρ , q $\mathcal{M}_{\beta,\rho,q}$ on non-homogeneous metric measure space which includes the upper doubling and the geometrically doubling ...
Guanghui Lu, Shuangping Tao
doaj   +3 more sources

Commutators of log-Dini-type parametric Marcinkiewicz operators on non-homogeneous metric measure spaces [PDF]

open access: yesJournal of Inequalities and Applications, 2021
Let ( X , d , μ ) $(\mathcal{X}, d, \mu )$ be a non-homogeneous metric measure space, which satisfies the geometrically doubling condition and the upper doubling condition.
Tao Xiangxing, Zhang Qiange
doaj   +3 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

Herz type Hardy spaces on non-homogeneous metric measure space [PDF]

open access: yesSCIENTIA 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
openaire   +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

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

open access: yesBanach 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 ${\
Lin, Haibo, Yang, Dongyong
openaire   +7 more sources

Boundedness of Calderón–Zygmund Operators on Non-homogeneous Metric Measure Spaces [PDF]

open access: yesCanadian Journal of Mathematics, 2012
AbstractLet (𝒳,d, μ) be a separable metric measure space satisfying the known upper doubling condition, the geometrical doubling condition, and the non-atomic condition that μ(﹛x﹜) = 0 for allx∈ 𝒳. In this paper, we show that the boundedness of a Calderón–Zygmund operatorTonL2(μ) is equivalent to that ofTonLp(μ) for somep∈ (1,∞), and that ofTfromL1(μ ...
Hytonen, Tuomas   +3 more
openaire   +3 more sources

Hardy spaces H p over non-homogeneous metric measure spaces and their applications [PDF]

open access: yesScience China Mathematics, 2015
Let $({\mathcal X},d, )$ be a metric measure space satisfying both the geometrically doubling and the upper doubling conditions.
Fu, Xing   +3 more
openaire   +2 more sources

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