Comptes Rendus
no. 5
Analyse complexe, Analyse fonctionnelle
On the Bohr inequality for the Cesáro operator
Ilgiz R. Kayumov1 ; Diana M. Khammatova1 ; Saminathan Ponnusamy2  
1 Kazan Federal University, 420 008 Kazan, Russia
2 Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India
Comptes Rendus. Mathématique, Volume 358 (2020) no. 5, pp. 615-620.

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.

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DOI : 10.5802/crmath.80
Classification : 30H05, 30A10, 30C80
Ilgiz R. Kayumov 1 ; Diana M. Khammatova 1 ; Saminathan Ponnusamy 2

1 Kazan Federal University, 420 008 Kazan, Russia
2 Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {On the {Bohr} inequality for the {Ces\'aro} operator},
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Ilgiz R. Kayumov; Diana M. Khammatova; Saminathan Ponnusamy. On the Bohr inequality for the Cesáro operator. Comptes Rendus. Mathématique, Volume 358 (2020) no. 5, pp. 615-620. doi : 10.5802/crmath.80. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.80/

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