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arXiv · 2105.11238

Complex interpolation of Orlicz sequence spaces and its higher order Rochberg spaces

Willian H. G. Corrêa
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Abstract

We show that if $(\ell_{\phi_0}, \ell_{\phi_1})$ is a couple of suitable Orlicz sequence spaces then the corresponding Rochberg derived spaces of all orders associated to the complex interpolation method are Fenchel-Orlicz spaces. In particular, the induced twisted sums have the $(C[0, 1], \mathbb{C})$-extension property.

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Willian H. G. Corrêa. 2021-05-24. Complex interpolation of Orlicz sequence spaces and its higher order Rochberg spaces. https://arxiv.org/abs/2105.11238

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