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Ces{a}ro exponents of mixed norm spaces.

Authors :
Chen, Bonan
Cheng, Guozheng
Fang, Xiang
Liu, Chao
Yu, Tao
Source :
Proceedings of the American Mathematical Society. Sep2023, Vol. 151 Issue 9, p3935-3948. 14p.
Publication Year :
2023

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
151
Issue :
9
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
164548496
Full Text :
https://doi.org/10.1090/proc/16441