Bohr and Rogosinski inequalities for operator valued holomorphic functions
DOI10.1016/j.bulsci.2022.103214OpenAlexW4310072731MaRDI QIDQ2683687
Himadri Halder, Subhadip Pal, Vasudevarao Allu
Publication date: 14 February 2023
Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.03849
geometry of Banach spacesoperator valued analytic functionBohr inequalityRogosinski inequality\(p\)-Bohr radius\(p\)-uniformly \(\mathbb{C}\)-convexity
Spaces of vector- and operator-valued functions (46E40) Linear operator inequalities (47A63) Geometry and structure of normed linear spaces (46B20) 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)
Cites Work
- The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\)
- Bohr radii of vector valued holomorphic functions
- A characterization of Banach spaces with nonzero Bohr radius
- Bohr's strip for vector valued Dirichlet series
- Bohr inequalities for free holomorphic functions on polyballs
- Bohr phenomenon for subordinating families of certain univalent functions
- Bohr's phenomenon for functions on the Boolean cube
- Remarks on the Bohr phenomenon
- Refinements of the Bohr and Rogosinski phenomena
- Refined Bohr-type inequalities with area measure for bounded analytic functions
- Bohr radius for certain classes of starlike and convex univalent functions
- On the Bohr inequality for the Cesáro operator
- Bohr phenomenon for certain subclasses of harmonic mappings
- Refined Bohr inequality for bounded analytic functions
- A logarithmic lower bound for multi-dimensional Bohr radii
- The \(p\)-Bohr radius of a Banach space
- The Bohr Radius of a Banach Space
- ON BOHR'S INEQUALITY
- Generalization of results about the Bohr radius for power series
- Complex convexity and the geometry of Banach spaces
- On Complex Strict and Uniform Convexity
- Bohr’s power series theorem in several variables
- Bohrs power series theorem and local Banach space theory
- COMPLEX CONVEXITY AND VECTOR-VALUED LITTLEWOOD–PALEY INEQUALITIES
- Banach Algebras Satisfying the Non-Unital Von Neumann Inequality
- Bohr property of bases in the space of entire functions and its generalizations
- Multidimensional analogues of Bohr’s theorem on power series
- Bohr phenomenon for operator-valued functions
- The Bohr phenomenon for analytic functions on shifted disks
- The Strong Maximum Modulus Theorem for Analytic Functions into a Banach Space
- Multidimensional analogues of refined Bohr’s 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