@article{d22761f3f2cd4a8e92926d5ac97ea2eb,
title = "CES{\`A}RO EXPONENTS OF MIXED NORM SPACES",
abstract = "In 1934, G. H. Hardy and J. E. Littlewood calculated [Proc. London Math. Soc. (2) 36 (1934), pp. 516–531] the optimal Ces{\`a}ro 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.",
keywords = "Bergman spaces, Ces{\`a}ro means, Hardy spaces, mixed norm spaces, oscillatory integrals",
author = "Bonan Chen and Guozheng Cheng and Xiang Fang and Chao Liu and Tao Yu",
note = "Publisher Copyright: {\textcopyright} 2023 American Mathematical Society.",
year = "2023",
month = sep,
day = "1",
doi = "10.1090/proc/16441",
language = "English",
volume = "151",
pages = "3935--3948",
journal = "Proceedings of the American Mathematical Society",
issn = "0002-9939",
publisher = "American Mathematical Society",
number = "9",
}