Arens Regularity of Banach Function Algebras and Decomposable Blaschke Products whose Degree is a Power of 2 [PDF]
, 2023 This thesis presents three pieces of work. Within the first two thirds of the thesis, we study Arens regularity of Banach algebras. We first study Arens regularity of weighted semigroup algebras that arise from totally ordered semilattices.
Choi, Yemon +2 more
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On the duality property of Blaschke products and its application (Computer Algebra - Theory and its Applications) [PDF]
, 2020 We study geometric properties of finite Blaschke products. For a Blaschke product B of degree d, the interior curve and the exterior curve are defined. In this paper, we explain the existence of dualitylike geometrical property lies between the interior ...
Fujimura, Masayo
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Singular perturbations of Blaschke products and connectivity of Fatou components [PDF]
, 2017 The goal of this paper is to study the family of singular perturbations of Blaschke products given by Ba,λ(z)=z3z−a1−a¯z+λz2. We focus on the study of these rational maps for parameters a in the punctured disk D∗ and |λ| small.
Canela Sánchez, Jordi +2 more
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Angular and Tangential Limits of Blaschke Products and their Successive Derivatives
, 1962 In this paper, we shall be concerned with bounded, holomorphic functions of the formwhere(1)(2)and(3)B(z{an}) is called a Blaschke product, and any sequence {an} which satisfies (2) and (3) is called a Blaschke sequence.
G. T. Cargo
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Constructing Frostman-Blaschke Products and Applications to Operators on Weighted Bergman Spaces
, 2015 We give an example of a uniform Frostman--Blaschke product B, whose spectrum is a Cantor set, such that the composition operator C_B is not closed-range on any weighted Bergman space A_{\alpha}^p, answering two questions posed in recent papers.
Akeroyd, John R. +2 more
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Finite Blaschke products: a survey
, 2018 A finite Blaschke product is a product of finitely many automorphisms of the unit disk. This brief survey covers some of the main topics in the area, including characterizations of Blaschke products, approximation theorems, derivatives and residues of ...
Garcia, Stephan Ramon +2 more
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Remark on Integral Means of Derivatives of Blaschke Products
, 2018 If B is the Blachke product with zeros {zn}, then , whereMoreover, it is a well-known fact that, for 0 < p < ∞,is bounded if and only if Mp(r, ΨB) is bounded.
Atte Reijonen
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Prevalence of stability for smooth Blaschke product cocycles fixing the origin
This work investigates the stability properties of Lyapunov exponents of transfer operator cocycles from a measure-theoretic perspective. Our results focus on so-called Blaschke product cocycles, a class of random dynamical systems amenable to rigorous ...
Peters, Joshua +1 more
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Chebyshev-Blaschke products: Solutions to certain approximation problems and differential equations
, 2015 In this paper, we study a special kind of finite Blaschke products called Chebyshev-Blaschke products f(n,) (tau) which can be defined by the Jacobi cosine function cd(u, tau), where tau is an element of R(+)i.
Ng, Tuen Wai +3 more
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On Blaschke products, Bloch functions and normal functions [PDF]
, 2011 We prove that if G is an analytic function in the unit disc such that G(z)→∞, as z→1, and B is an infinite Blaschke product whose sequence of zeros is contained in a Stolz angle with vertex at 1 then the function f=B⋅G is not a normal function. We prove
Girela, Daniel, Suarez, Fernando Daniel
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