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arXiv · 1502.05732

Interpolation of abstract Cesaro, Copson and Tandori spaces

Karol Lesnik·Lech Maligranda
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Abstract

We study real and complex interpolation of abstract Ces\`aro, Copson and Tandori spaces, including the description of Calder\'on-Lozanovski{\v \i} construction for those spaces. The results may be regarded as generalizations of interpolation for Ces\`aro spaces $Ces_p(I)$ in the case of real method, but they are new even for $Ces_p(I)$ in the case of complex method. Some results for more general interpolation functors are also presented. The investigations show an interesting phenomenon that there is a big difference between interpolation of Ces\`aro function spaces in the cases of finite and infinite interval.

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Karol Lesnik, Lech Maligranda. 2015-02-19. Interpolation of abstract Cesaro, Copson and Tandori spaces. https://arxiv.org/abs/1502.05732

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