scholarly journals Some Bohr-Type Inequalities for Bounded Analytic Functions

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Hong Wang
Keyword(s):  
Analytic Functions ◽  
Convex Combination ◽  
Schwarz Function ◽  
Bounded Analytic Functions

In this paper, some new versions of Bohr-type inequalities with one parameter or involving convex combination for bounded analytic functions of Schwarz function are established. Some previous inequalities are generalized. All the results are sharp.

scholarly journals On approximation by bounded analytic functions

1954 ◽  
Vol 5 (1-3) ◽  
pp. 191-196
Author(s):  
J. L. Walsh ◽  
J. P. Evans
Keyword(s):  
Analytic Functions ◽  
Bounded Analytic Functions

scholarly journals Bohr–Rogosinski Inequalities for Bounded Analytic Functions

2020 ◽  
Vol 41 (11) ◽  
pp. 2110-2119
Author(s):  
Seraj A. Alkhaleefah ◽  
Ilgiz R. Kayumov ◽  
Saminathan Ponnusamy
Keyword(s):  
Analytic Functions ◽  
Bounded Analytic Functions

scholarly journals The arc-length variation of analytic capacity and a conformal geometry

1992 ◽  
Vol 125 ◽  
pp. 151-216
Author(s):  
Takafumi Murai
Keyword(s):  
Banach Space ◽  
Complex Plane ◽  
Analytic Functions ◽  
Conformal Geometry ◽  
Supremum Norm ◽  
Length Variation ◽  
Analytic Capacity ◽  
Arc Length ◽  
Bounded Analytic Functions ◽  
Extended Complex

For a domain Ω in the extended complex plane C ∪{∞}, H∞(Ω) denotes the Banach space of bounded analytic functions in Ω with supremum norm ∥ · ∥H∞ For ζ ∈ Ω, we putwhere f′(∞) = lim,z→∞z{f (∞) = f(z)} if ζ = ∞.

Sign in / Sign up

Export Citation Format

Share Document