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Complex interpolation of families of Orlicz sequence spaces

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Abstract

We study the complex interpolation and derivation process induced by a family of Orlicz sequence spaces. We present a concrete example of an interpolation family of three spaces inducing a centralizer that cannot be obtained from complex interpolation of two spaces.

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Acknowledgements

We would like to thank Félix Cabello Sánchez, Jesús Castillo and Valentin Ferenczi for discussions regarding this work, and Michał Wojciechowski for suggesting the study of interpolation of families of Orlicz spaces.

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Authors and Affiliations

  1. Departamento de Matemática, Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matâo 1010, 05508-090, São Paulo, SP, Brazil

    Willian Hans Goes Corrêa

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  1. Willian Hans Goes Corrêa
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Correspondence to Willian Hans Goes Corrêa.

Additional information

The present work was supported by São Paulo Research Foundation (FAPESP), processes 2016/25574-8 and 2018/03765-1.

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Corrêa, W.H.G. Complex interpolation of families of Orlicz sequence spaces. Isr. J. Math. 240, 603–624 (2020). https://doi.org/10.1007/s11856-020-2068-y

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  • DOI: https://doi.org/10.1007/s11856-020-2068-y

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