2022/01/05 by Mark Elin, Elin, Mark, Fiana Jacobzon +1
Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2201.01795
openalex publication_date 2022/01/05 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28
In this note we present a remark on the paper "On the coefficient inequalities for a class of holomorphic mappings associated with spirallike mappings in several complex variables" by Y.~Lai and Q.~Xu \citeLX published recently in the journal \it Results in Mathematics. We show that one of the theorems in \citeLX concerning the finite-dimensional space ℂn is a direct consequence of another one, so it does not need an independent proof. Moreover, we prove that a sharp norm estimate on the Fekete--Szeg"o functional over spirallike mappings in a general Banach space can be deduced from a result in \citeLX.