On the Bohr inequality for the Cesaro operator

被引：29

作者：

Kayumov, Ilgiz R. ^{[1
]}

Khammatova, Diana M. ^{[1
]}

Ponnusamy, Saminathan ^{[2
]}

机构：

[1] Kazan Fed Univ, Kazan 420008, Russia

[2] Indian Inst Technol Madras, Dept Math, Chennai 600036, Tamil Nadu, India

来源：

COMPTES RENDUS MATHEMATIQUE | 2020年 / 358卷 / 05期

基金：

俄罗斯科学基金会;

关键词：

D O I：

10.5802/crmath.80

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate an analog of Bohr's results for the Cesaro operator acting on the space of holomorphic functions defined on the unit disk. The asymptotical behaviour of the corresponding Bohr sum is also estimated.

引用

页码：615 / 620

页数：6

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