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Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 6

Interpolation between weighted Lorentz spaces with respect to a vector measure

Maryam Mohsenipour
Ghadir Sadeghi
Pages
1590–1600
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

As an application, we get a type of the generalization of Steffensen's inequality for $L^p(\|m\|)$ and interpolation spaces for couples of Lorentz-Zygmund spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we consider weighted Lorentz spaces with respect to a vector measure and derive some of their properties.
📊
Key Findings & Data:We describe the interpolation with a parameter function of these spaces.
💡
Conclusion & Impact:As an application, we get a type of the generalization of Steffensen's inequality for $L^p(\|m\|)$ and interpolation spaces for couples of Lorentz-Zygmund spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Lorentz spaces · interpolation · vector measures

Abstract

In this paper, we consider weighted Lorentz spaces with respect to a vector measure and derive some of their properties. We describe the interpolation with a parameter function of these spaces. As an application, we get a type of the generalization of Steffensen's inequality for $L^p(\|m\|)$ and interpolation spaces for couples of Lorentz-Zygmund spaces.

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Cite This Article

Mohsenipour, M., Sadeghi, G. (2022). Interpolation between weighted Lorentz spaces with respect to a vector measure. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 6, 1590–1600. https://ajindex.com/articles/530138

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