CESARO EXPONENTS OF MIXED NORM SPACES

被引：1

作者：

Chen, Bonan ^{[1
]}

Cheng, Guozheng ^{[1
]}

Fang, Xiang ^{[1
]}

Liu, Chao ^{[2
]}

Yu, Tao ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Natl Cent Univ, Dept Math, Chungli, Taiwan

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 09期

关键词：

Cesaro means; mixed norm spaces; Hardy spaces; Bergman spaces; oscillatory integrals; ANALYTIC-FUNCTIONS; RADIAL VARIATION; CONVERGENCE; CIRCLE; HARDY;

D O I：

10.1090/proc/16441

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In 1934, G. H. Hardy and J. E. Littlewood calculated [Proc. London Math. Soc. (2) 36 (1934), pp. 516-531] the optimal Cesaro 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.

引用

页码：3935 / 3948

页数：14

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