CESÀRO EXPONENTS OF MIXED NORM SPACES

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

doi:10.1090/proc/16441

CESÀRO EXPONENTS OF MIXED NORM SPACES

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

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	3935-3948
Number of pages	14
Journal	Proceedings of the American Mathematical Society
Volume	151
Issue number	9
DOIs	https://doi.org/10.1090/proc/16441
State	Published - 1 Sep 2023

Keywords

Bergman spaces
Cesàro means
Hardy spaces
mixed norm spaces
oscillatory integrals

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10.1090/proc/16441

Problems in Random Operator Theory(4/4)
Fang, X. (PI)
1/08/22 → 31/07/23
Project: Research

Cite this

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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 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.",

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KW - Cesàro means

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KW - oscillatory integrals

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CESÀRO EXPONENTS OF MIXED NORM SPACES

Abstract

Keywords

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Problems in Random Operator Theory(4/4)

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