Multidimensional analogues of refined Bohr’s inequality
From MaRDI portal
Publication:5856968
DOI10.1090/proc/15371zbMath1460.32002arXiv2103.09397OpenAlexW3100415335MaRDI QIDQ5856968
Ming-Sheng Liu, Saminathan Ponnusamy
Publication date: 30 March 2021
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.09397
Power series, series of functions of several complex variables (32A05) Special domains (Reinhardt, Hartogs, circular, tube, etc.) in (mathbb{C}^n) and complex manifolds (32Q02)
Related Items (28)
On the multidimensional Bohr radius ⋮ Bohr radius and its asymptotic value for holomorphic functions in higher dimensions ⋮ Operator valued analogues of multidimensional Bohr’s inequality ⋮ The Bohr inequality for certain harmonic mappings ⋮ Bohr phenomenon for certain close-to-convex analytic functions ⋮ A new subclass of close-to-convex harmonic mappings ⋮ Estimates for generalized Bohr radii in one and higher dimensions ⋮ Improved Bohr inequality for harmonic mappings ⋮ Bohr–Rogosinski radius for a certain class of close-to-convex harmonic mappings ⋮ Bohr type inequalities for the class of self-analytic maps on the unit disk ⋮ Two generalizations of Bohr radius ⋮ 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 ⋮ The sharp refined Bohr–Rogosinski inequalities for certain classes of harmonic mappings ⋮ Bohr-Rogosinski-type inequalities for certain classes of functions: analytic, univalent, and convex ⋮ Bohr's phenomenon for holomorphic and harmonic functions with lacunary series in complex Banach spaces ⋮ Bohr-type inequalities for unimodular bounded analytic functions ⋮ A generalization of the Bohr inequality and its applications ⋮ Revisit of multi-dimensional Bohr radius ⋮ Bohr-type inequality via proper combination ⋮ Bohr radius for certain classes of close-to-convex harmonic mappings ⋮ Some properties of certain close-to-convex harmonic mappings ⋮ Bohr phenomenon for certain classes of harmonic mappings ⋮ The Bohr-type inequalities for holomorphic mappings with a lacunary series in several complex variables ⋮ The Bohr phenomenon for analytic functions on shifted disks ⋮ On the Bohr's inequality for stable mappings ⋮ A generalization of the Bohr-Rogosinski sum
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A note on Bohr's phenomenon for power series
- The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive
- New inequalities for the coefficients of unimodular bounded functions
- Geometric generalizations in Kresin-Maz'ya sharp real-part theorems
- Sharp real-part theorems. A unified approach. Translated from Russian and edited by T. Shaposhnikova
- 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
- Bohr phenomenon for subordinating families of certain univalent functions
- Remarks on the Bohr phenomenon
- Bohr-type inequalities of analytic functions
- Bohr's phenomenon for the classes of quasi-subordination and \(K\)-quasiregular harmonic mappings
- Bohr radius for subordination and \(K\)-quasiconformal harmonic mappings
- Bohr phenomenon for locally univalent functions and logarithmic power series
- A logarithmic lower bound for multi-dimensional Bohr radii
- Bohr's theorem for holomorphic mappings with values in homogeneous balls
- ON BOHR'S INEQUALITY
- EXTENSIONS OF BOHR'S INEQUALITY
- Generalization of results about the Bohr radius for power series
- Bohr’s power series theorem in several variables
- An abstract approach to Bohr’s phenomenon
- On a powered Bohr inequality
- Finite Blaschke Products and Their Connections
- Bohr radius for locally univalent harmonic mappings
- Bohr’s inequality for uniform algebras
- Multidimensional analogues of Bohr’s theorem on power series
- On the Bohr inequality with a fixed zero coefficient
- On the Bohr Inequality
- A remark on Bohr's theorem and its generalizations
- Generalization of a theorem of Bohr for bases in spaces of holomorphic functions of several complex variables
This page was built for publication: Multidimensional analogues of refined Bohr’s inequality
