Variable Hardy–Lorentz spaces associated to operators satisfying Davies–Gaffney estimates

Zuo, Yahui; Saibi, Khedoudj; Jiao, Yong

doi:10.1215/17358787-2018-0035

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Cited by 8 publications

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“…The variable Hardy-Lorentz spaces 𝐻 𝑝(⋅),𝑞 (ℝ 𝑛 ) were studied by Jiao et al in [28]. The readers may consult the articles [34,44,50,51] for more results about variable Hardy-Lorentz spaces.…”

Section: Introductionmentioning

confidence: 99%

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Variable Hardy–Lorentz martingale spaces Hp(·),q(·)$\mathcal {H}_{p(\cdot ),q(\cdot )}$

2023

Mathematische Nachrichten

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Let be a complete probability space and let be two variable exponents. In this paper, we investigate several new variable Hardy–Lorentz martingale spaces associated with the variable Lorentz spaces , which are defined by nonincreasing rearrangement functions. To be precise, we first formulate the atomic decomposition theorems for these Hardy–Lorentz martingale spaces, and then establish martingale inequalities among them with the help of the boundedness of a σ‐sublinear operator. Furthermore, we prove the boundedness of fractional integrals on variable Hardy–Lorentz martingale spaces .

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Section: Introductionmentioning

confidence: 99%

“…in [28]. The readers may consult the articles [34, 44, 50, 51] for more results about variable Hardy–Lorentz spaces.…”

Section: Introductionmentioning

confidence: 99%

Variable Hardy–Lorentz martingale spaces Hp(·),q(·)$\mathcal {H}_{p(\cdot ),q(\cdot )}$

2023

Mathematische Nachrichten

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Variable Hardy–Lorentz spaces associated with operators satisfying Davies–Gaffney estimates on metric measure spaces of homogeneous type

2023

Acta Math. Hungar.

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Variable Triebel–Lizorkin–Lorentz Spaces Associated to Operators

Saibi

2022

Complex Anal. Oper. Theory

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Variable Hardy–Lorentz spaces associated to operators satisfying Davies–Gaffney estimates

Cited by 8 publications

References 0 publications

Variable Hardy–Lorentz martingale spaces Hp(·),q(·)$\mathcal {H}_{p(\cdot ),q(\cdot )}$

Variable Hardy–Lorentz martingale spaces Hp(·),q(·)$\mathcal {H}_{p(\cdot ),q(\cdot )}$

Variable Hardy–Lorentz spaces associated with operators satisfying Davies–Gaffney estimates on metric measure spaces of homogeneous type

Variable Triebel–Lizorkin–Lorentz Spaces Associated to Operators

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