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Some properties and interpolation theorems in weak Orlicz–Lorentz spaces

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Abstract

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.

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Acknowledgement

The authors thank Professor Kamińska for her kind help and advice.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Henan University, Kaifeng, 475004, P. R. China

    L.-P. Fan

  2. School of Mathematics and Information Science, Xinxiang University, Xinxiang, 475300, P. R. China

    C.-B. Ma

Authors
  1. L.-P. Fan
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  2. C.-B. Ma
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Correspondence to L.-P. Fan.

Additional information

This work is supported by National Natural Science Foundation of China (11471251, 11801489).

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Fan, LP., Ma, CB. Some properties and interpolation theorems in weak Orlicz–Lorentz spaces. Acta Math. Hungar. 164, 28–45 (2021). https://doi.org/10.1007/s10474-020-01112-8

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  • DOI: https://doi.org/10.1007/s10474-020-01112-8

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