Cesàro exponents of mixed norm spaces

Chen, Bonan; Cheng, Guozheng; Fang, Xiang; Liu, Chao; Yu, Tao

doi:10.1090/proc/16441

Cesàro exponents of mixed norm spaces
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by Bonan Chen, Guozheng Cheng, Xiang Fang, Chao Liu and Tao Yu;

Proc. Amer. Math. Soc. 151 (2023), 3935-3948

DOI: https://doi.org/10.1090/proc/16441

Published electronically: May 25, 2023

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Abstract:

In 1934, G. H. Hardy and J. E. Littlewood calculated [Proc. London Math. Soc. (2) 36 (1934), pp. 516–531] the optimal Cesàro exponent for Hardy spaces. In this paper we calculate it for mixed norm spaces, hence including the Bergman spaces in particular. The main technical challenge lies in the analysis of the example needed for the critical case.

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Cesàro exponents of mixed norm spaces
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Abstract: