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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2019 / Volume: 48 Issue: 6

Interpolation between weighted Lorentz spaces with respect to a vector measure

Maryam Mohsenipour(Hakim Sabzevari University)0000-0002-1890-0280
Ghadir Sadeghi(Hakim Sabzevari University)0000-0002-3815-3681
Sayfa
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Yayın Tarihi
2019-12-08
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, we consider weighted Lorentz spaces with respect to a vector measure and derive some of their properties.
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Temel Bulgular & Veri:We describe the interpolation with a parameter function of these spaces.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Mohsenipour, M., Sadeghi, G. (2019). Interpolation between weighted Lorentz spaces with respect to a vector measure. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 6. https://doi.org/10.15672/hujms.652608

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