Cesàro exponents of mixed norm spaces-Reference-Cited by-同舟云学术

Cesàro exponents of mixed norm spaces

Published:2023-05-25 Issue: Volume: Page:
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

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

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.

Funder

Ministry of Science and Technology, Taiwan

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

https://www.ams.org/proc/0000-000-00/S0002-9939-2023-16441-2/proc16441_AM.pdf

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