no. 5
Analyse complexe, Analyse fonctionnelle
On the Bohr inequality for the Cesáro operator
Kayumov, Ilgiz R.1 ; Khammatova, Diana M.1 ; Ponnusamy, Saminathan2  
1 Kazan Federal University, 420 008 Kazan, Russia
2 Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India
Comptes Rendus. Mathématique, Tome 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.

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

1 Kazan Federal University, 420 008 Kazan, Russia
2 Department of Mathematics, Indian Institute of Technology Madras, Chennai-600 036, India 
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Kayumov, Ilgiz R.; Khammatova, Diana M.; Ponnusamy, Saminathan. On the Bohr inequality for the Cesáro operator. Comptes Rendus. Mathématique, Tome 358 (2020) no. 5, pp. 615-620. doi : 10.5802/crmath.80. http://www.numdam.org/articles/10.5802/crmath.80/

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