Bohrs power series theorem and local Banach space theory

113 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Refined Bohr inequality for bounded analytic functions (2020, background): “See for instance [2, 4, 8, 10, 11, 13, 14, 15, 16, 17, 18] and the references therein.”
The Bohr radius for starlike logharmonic mappings (2016, methodology): “Bohr radius and local Banach space theory,[13,14] and obtained the optimal asymptotic estimate for the n-dimensional Bohr radius on the polydisk U n .”
Bohr’s theorem for holomorphic mappings with values in homogeneous balls (2009, unknown): “tion of Bohr’s theorem to several complex variables, see [2], [3], [4], [5], [9], [ 10 ], [11], [14], [19], [20] and [21].”
A logarithmic lower bound for multi-dimensional bohr radii (2006, methodology): “The proof of Theorem 1.1 is based on the following basic link between the study of multi-dimensional Bohr radii and local Banach space theory from [ 9, Theorem 2.2 ]: For each Banach space X = (C ~, I1" II) for which the ek's form a 1-unconditional basis (i.e., X(ek) = 1) we have (3.1)”
Bohr Radius for Classes of Analytic Functions (2019, background): “The relationship between Banach theory and Bohr’s theorem was explored in [15,17,18].”