Pointwise lower bounds in growth spaces with little o conditions

2025/03/28 by Željko Čučković, Cuckovic, Zeljko, Jari Taskinen +1
Mathematics · #30H10 #30H30 #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2503.22381

openalex publication_date 2025/03/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Pointwise lower bounds on the open unit disc \bbD for the sum of the moduli of two analytic functions f and g (or their derivatives) are known in several cases, like f,g belonging to the Bloch space \cB, BMOA or the weighted Hardy space H_ω^∞. We find complementary results of Ramey-Ullrich and Abakumov-Doubtsov for functions with little o conditions.

Related

• BMOA estimates and radial growth of B_ϕ functions
• Self-improving estimates of growth of subharmonic and analytic functions
• Integration and differentiation operators between growth spaces
• Weighted contractivity for derivatives of functions in the Bergman space on the unit disk
• Growth of pth means of analytic and subharmonic functions in the unit disc and angular distribution of zeros