关于Cesáro算子的玻尔不等式

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2020-09-14 DOI:10.5802/CRMATH.80

I. Kayumov, D. Khammatova, S. Ponnusamy

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引用次数: 18

摘要

我们研究了作用于单位圆盘上定义的全纯函数空间的Cesáro算子的玻尔结果的类比。并估计了相应的玻尔和的渐近性质。2020数学学科分类。30H05, 30A10, 30C80。资金。I. Kayumov和D. Khammatova的工作得到了俄罗斯科学基金会的资助，资助项目为18-11-00115。第三作者的工作得到了印度DST数学研究影响中心支持(MTR/2017/000367)的支持。稿件于2019年1月1日收到，2020年5月26日修改并接受。

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On the Bohr inequality for the Cesáro operator

We investigate an analog of Bohr’s results for the Cesáro operator acting on the space of holomorphic functions defined on the unit disk. The asymptotical behaviour of the corresponding Bohr sum is also estimated. 2020 Mathematics Subject Classification. 30H05, 30A10, 30C80. Funding. The work of I. Kayumov and D. Khammatova is supported by the Russian Science Foundation under grant 18-11-00115. The work of the third author is supported by Mathematical Research Impact Centric Support of DST, India (MTR/2017/000367). Manuscript received 1st January 2019, revised and accepted 26th May 2020.

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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.