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Some properties and interpolation theorems in weak Orlicz–Lorentz spaces
Acta Mathematica Hungarica ( IF 0.6 ) Pub Date : 2021-02-05 , DOI: 10.1007/s10474-020-01112-8 L.-P. Fan , C.-B. Ma
中文翻译:
弱Orlicz-Lorentz空间中的一些性质和插值定理
更新日期:2021-02-05
Acta Mathematica Hungarica ( IF 0.6 ) Pub Date : 2021-02-05 , DOI: 10.1007/s10474-020-01112-8 L.-P. Fan , C.-B. Ma
This paper is devoted to the studying of the weak Orlicz–Lorentz space \(\Lambda_X^{\varphi, \infty}(w)\), which can be regarded as an extension of weak Orlicz space \(L_X^{\varphi, \infty}\) and weak Lorentz space \(\Lambda_X^{p, \infty}(w)\). Results are obtained on the basic properties of convergence, normability and embedding relationships. Some interpolation theorems of operators are also given in the final part.
中文翻译:
弱Orlicz-Lorentz空间中的一些性质和插值定理
本文致力于弱Orlicz-Lorentz空间\(\ Lambda_X ^ {\ varphi,\ infty}(w)\)的研究,可以将其视为弱Orlicz空间\(L_X ^ {\ varphi ,\ infty} \) 和弱的Lorentz空间\(\ Lambda_X ^ {p,\ infty}(w)\)。获得了收敛,规范性和嵌入关系的基本属性的结果。最后一部分给出了算子的一些插值定理。