On the Bohr inequality for the Cesáro operator

DOI10.5802/crmath.80zbMath1451.30100OpenAlexW3084536227MaRDI QIDQ2208994

Saminathan Ponnusamy, Diana M. Khammatova, Il'giz R. Kayumov

Publication date: 28 October 2020

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/crmath.80

zbMATH Keywords

Cesáro operatorholomorphic functions of the unit disk

Mathematics Subject Classification ID

Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Spaces of bounded analytic functions of one complex variable (30H05) Inequalities in the complex plane (30A10)

Related Items (24)

Improved Bohr inequalities for certain class of harmonic univalent functions ⋮ Bohr-Rogosinski inequalities for certain fully starlike harmonic mappings ⋮ Bohr phenomenon for certain close-to-convex analytic functions ⋮ Improved Bohr inequality for harmonic mappings ⋮ Bohr type inequality for Cesáro and Bernardi integral operator on simply connected domain ⋮ Bohr–Rogosinski radius for a certain class of close-to-convex harmonic mappings ⋮ Extremal problems in geometric function theory ⋮ Certain multiplier results on \(B^p\) spaces ⋮ Bohr radius for Banach spaces on simply connected domains ⋮ Bohr and Rogosinski inequalities for operator valued holomorphic functions ⋮ Bohr inequalities for certain classes of harmonic mappings ⋮ A generalization of the Bohr inequality and its applications ⋮ Refinement of powered Bohr inequality ⋮ Bohr inequalities for certain integral operators ⋮ Bohr-Rogosinski phenomenon for analytic functions and Cesáro operators ⋮ Generalized Cesáro operator on BMOA space ⋮ Bohr-type inequality via proper combination ⋮ Bohr radius for certain classes of close-to-convex harmonic mappings ⋮ Note on weighted Bohr's inequality ⋮ Some properties of certain close-to-convex harmonic mappings ⋮ The Bohr inequality for the generalized Cesáro averaging operators ⋮ The Bohr phenomenon for analytic functions on shifted disks ⋮ A generalization of the Bohr-Rogosinski sum ⋮ Bohr-Rogosinski type inequalities for concave univalent functions

Cites Work

• Unnamed Item
• Unnamed Item
• A note on Bohr's phenomenon for power series
• Some properties of fractional integrals. II
• Bohr's inequalities for the analytic functions with lacunary series and harmonic functions
• Bohr inequality for odd analytic functions
• Improved version of Bohr's inequality
• Cesàro averaging operators
• On a powered Bohr inequality
• Finite Blaschke Products and Their Connections
• Banach Algebras Satisfying the Non-Unital Von Neumann Inequality
• On the Bohr Inequality
• Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes. Erhard Schmidt zum 75. Geburtstag in Verehrung gewidmet
• A remark on Bohr's theorem and its generalizations

This page was built for publication: On the Bohr inequality for the Cesáro operator