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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Ilgiz R. Kayumov 1 ; Diana M. Khammatova 1 ; Saminathan Ponnusamy 2
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@article{CRMATH_2020__358_5_615_0, author = {Ilgiz R. Kayumov and Diana M. Khammatova and Saminathan Ponnusamy}, title = {On the {Bohr} inequality for the {Ces\'aro} operator}, journal = {Comptes Rendus. Math\'ematique}, pages = {615--620}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {5}, year = {2020}, doi = {10.5802/crmath.80}, language = {en}, }
TY - JOUR AU - Ilgiz R. Kayumov AU - Diana M. Khammatova AU - Saminathan Ponnusamy TI - On the Bohr inequality for the Cesáro operator JO - Comptes Rendus. Mathématique PY - 2020 SP - 615 EP - 620 VL - 358 IS - 5 PB - Académie des sciences, Paris DO - 10.5802/crmath.80 LA - en ID - CRMATH_2020__358_5_615_0 ER -
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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