Bohr phenomenon for operator-valued functions

DOI10.1017/S0013091520000395zbMath1477.47012arXiv1904.00351OpenAlexW3119661717MaRDI QIDQ4993990

Nilanjan Das, Bappaditya Bhowmik

Publication date: 11 June 2021

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.00351

zbMATH Keywords

harmonic functionBohr radiusbiholomorphic function

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Power series (including lacunary series) in one complex variable (30B10)

Related Items (8)

Bohr radius and its asymptotic value for holomorphic functions in higher dimensions ⋮ Operator valued analogues of multidimensional Bohr’s inequality ⋮ Bohr phenomenon for certain close-to-convex analytic functions ⋮ Bohr operator on operator-valued polyanalytic functions on simply connected domains ⋮ Bohr radius for Banach spaces on simply connected domains ⋮ Bohr and Rogosinski inequalities for operator valued holomorphic functions ⋮ The Bohr operator on analytic functions and sections ⋮ An operator-valued analogue of a result of Bombieri

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