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Complex Variables and Elliptic Equations, ISSN 1747-6933, 08/2018, Volume 63, Issue 7-8, pp. 1033 - 1043
Let Omega be an open subset of the complex plane and let phi be an injective holomorphic self-map of Omega such that the sequence of iterates of phi is a... 
30J10 | 30K20 | 37F10 | composition operator | Universality | finite Blaschke products | MATHEMATICS
Journal Article
Computational Methods and Function Theory, ISSN 1617-9447, 6/2019, Volume 19, Issue 2, pp. 323 - 340
We study the Fourier series of circle homeomorphisms and circle embeddings, with an emphasis on the Blaschke product approximation and the vanishing of Fourier... 
Computational Mathematics and Numerical Analysis | Blaschke products | Circle homeomorphisms | Functions of a Complex Variable | Analysis | 30J10 | Mathematics | Fourier series | 42A16 | Harmonic maps | 31A05 | Circle embeddings | MATHEMATICS | MATHEMATICS, APPLIED | Mathematics - Complex Variables
Journal Article
The American Mathematical Monthly, ISSN 0002-9890, 02/2019, Volume 126, Issue 2, pp. 99 - 111
We consider several seemingly unrelated theorems, each with the word ellipse in the statement: Siebeck's theorem, the elliptical range theorem, Poncelet's... 
Primary 15A60, Secondary 30J10 | MATHEMATICS | NUMERICAL RANGE | COMPRESSIONS | SIMPLE PROOF
Journal Article
Concrete Operators, ISSN 2299-3282, 08/2019, Volume 6, Issue 1, pp. 76 - 81
We characterize closed range composition operators on the Dirichlet space for a particular class of composition symbols. The characterization relies on a... 
composition operator | 30H35 | Dirichlet space | Berezin transform | 47B33 | 30J10 | Toeplitz operator | 47A53 | vanishing mean oscillation | 30H25 | closed range operator | dirichlet space | toeplitz operator | 47b33 | 30h25 | 30j10 | 47a53 | 30h35 | berezin transform
Journal Article
Bulletin of the London Mathematical Society, ISSN 0024-6093, 06/2011, Volume 43, Issue 3, pp. 561 - 575
We study inequalities for the infima of Green potentials on a compact subset of an arbitrary domain in the complex plane. The results are based on a new... 
POLYNOMIALS | MATHEMATICS | Mathematics - Complex Variables
Journal Article
Acta Mathematica Hungarica, ISSN 0236-5294, 12/2017, Volume 153, Issue 2, pp. 265 - 275
We pose and solve two interpolation problems for bounded analytic functions in the unit disc. In the first, we require interpolation by some derivative and... 
Carleson measure | bounded analytic function | 30H05 | uniformly separated sequence | 30E05 | Mathematics, general | 30J10 | Mathematics | interpolating sequence
Journal Article
Concrete Operators, ISSN 2299-3282, 10/2017, Volume 4, Issue 1, pp. 76 - 108
This paper is selective survey on the space l and its multipliers. It also includes some connections of multipliers to Birkhoff-James orthogonality 
Sequence spaces | 30B10 | Multipliers | Inner functions | 30J15 | Hardy spaces | 30J10 | 30H10
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 11/2019, Volume 13, Issue 8, pp. 4027 - 4044
We characterize the multiplication operators with closed range on the Bergman space in terms of the Berezin transform, and apply this characterization to... 
Bergman space | Invertible operator | Closed range operator | Fredholm operator | 30H35 | 30J10 | Mathematics | Toeplitz operator | 47A53 | 30H20 | Operator Theory | Interpolating Blaschke product | Analysis | Multiplication operator | 47B35 | Mathematics, general | Berezin transform | MATHEMATICS | MATHEMATICS, APPLIED | HANKEL-OPERATORS
Journal Article
Complex Variables and Elliptic Equations, ISSN 1747-6933, 09/2018, Volume 63, Issue 9, pp. 1341 - 1352
We give a necessary and sufficient condition for the existence of a holomorphic interpolant , , for prescribed three-point Pick-Nevanlinna data. This is... 
polydiscs | Secondary: 46E20 | 30J10 | Pick-Nevanlinna interpolation | Primary: 32A17 | irreducible inner functions | rational inner functions | 32F45 | Pick–Nevanlinna interpolation | MATHEMATICS | VARIABLES | Interpolation | Mathematical analysis
Journal Article
Analysis and Mathematical Physics, ISSN 1664-2368, 3/2019, Volume 9, Issue 1, pp. 221 - 249
The determination of a finite Blaschke product from its critical points is a well-known problem with interrelations to several other topics. Though existence... 
30E05 | 30J10 | Mathematics | Critical point | Stieltjes polynomial | Equilibrium | Mathematical Methods in Physics | Van Vleck polynomial | Analysis | Blaschke product | Moment problem | 26C15 | Electrostatics | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 2/2019, Volume 13, Issue 1, pp. 45 - 59
In this paper, via high order derivatives and via embedding derivatives of Bloch type functions into Lebesgue spaces, we characterize the closures of Dirichlet... 
46E15 | Operator Theory | Closure | Interpolating Blaschke product | Analysis | Dirichlet type spaces | Mathematics, general | 30J10 | Mathematics | The Bloch space | 30H30 | MATHEMATICS | MATHEMATICS, APPLIED | CARLESON MEASURES | MULTIPLIERS | OPERATORS | ANALYTIC-FUNCTIONS | FAMILY
Journal Article
Integral Equations and Operator Theory, ISSN 0378-620X, 3/2014, Volume 78, Issue 3, pp. 407 - 414
We consider the determinants of compressions of Toeplitz operators to finite-dimensional model spaces and establish analogues of the Borodin–Okounkov formula... 
Skew Toeplitz operator | Analysis | 47B35 | Model space | Truncated Toeplitz operator | Blaschke product | 30J10 | Mathematics | Toeplitz determinant
Journal Article
Computational Methods and Function Theory, ISSN 1617-9447, 12/2017, Volume 17, Issue 4, pp. 635 - 652
We study geometrical properties of finite Blaschke products. For a Blaschke product B of degree d, let $$L_{\lambda }$$ L λ be the set of the lines tangent to... 
30C20 | Computational Mathematics and Numerical Analysis | Functions of a Complex Variable | Complex analysis | Analysis | Blaschke product | Conic | 30J10 | Mathematics | Algebraic curve | ELLIPSES | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Computational Methods and Function Theory, ISSN 1617-9447, 3/2019, Volume 19, Issue 1, pp. 173 - 182
For any finite Blaschke product B, there is an injective analytic map $$\varphi :{\mathbb {D}}\rightarrow {\mathbb {C}}$$ φ : D → C and a polynomial p of the... 
30C10 | Computational Mathematics and Numerical Analysis | Blaschke products | Fingerprints | Functions of a Complex Variable | Analysis | Primary 30J10 | Mathematics | Polynomials | Conformal models | Secondary 30C35 | MATHEMATICS | MATHEMATICS, APPLIED | EQUIVALENCE
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 04/2017, Volume 67, Issue 2, pp. 411 - 416
We introduce and characterize interpolation sets in a weak sense for the Lipschitz class in the unit disc of the complex plane. Interpolation sets in the... 
Secondary 30J10 | 30H50 | Lipschitz class | uniformly separated sequence | Blaschke product | Primary 30E05 | interpolation set | Uniformly separated sequence | Interpolation set | MATHEMATICS | Interpolation | Banach spaces | Research | Mathematical research
Journal Article
Complex Variables and Elliptic Equations, ISSN 1747-6933, 05/2018, Volume 63, Issue 5, pp. 599 - 624
In this paper we propose a different (and equivalent) norm on which consists of functions whose derivatives are in the Hardy space of unit disk. The... 
m-isometry | composition operator | Secondary: 30J10 | 30H50 | multiplication operator | Nevalinna-Pick kernel | 47B35 | 47B33 | Derivative Hardy space | reducing subspace | Primary: 47B32 | 30H10 | Operators (mathematics) | Multiplication | Multiplication & division | Subspaces | Upper bounds
Journal Article
Complex Variables and Elliptic Equations, ISSN 1747-6933, 01/2018, Volume 63, Issue 1, pp. 116 - 135
The aim of this paper is to consider the following two problems: (1) find sufficient conditions on the analytic coefficients of the differential equation for... 
prescribed zero sequence | Blaschke product | Secondary: 30J10 | Differential equation | the general family function space | Primary: 34M10 | BOUNDED ANALYTIC-FUNCTIONS | MATHEMATICS | ORDER | UNIT DISC | GROWTH | COEFFICIENTS | DERIVATIVES | BERGMAN SPACES | Thermal analysis | Function space | Mathematical analysis | Formulas (mathematics) | Differential equations
Journal Article
Periodica Mathematica Hungarica, ISSN 0031-5303, 6/2015, Volume 70, Issue 2, pp. 227 - 232
In this paper we introduce and characterize one double interpolation problem for the space $$H^\infty $$ H ∞ of all bounded analytic functions in the open unit... 
Divided differences | Interpolating sequence | 30H05 | Blaschke product | 30E05 | Mathematics, general | 30J10 | Mathematics | Pseudohyperbolic distance | Uniformly separated | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
Complex Analysis and Operator Theory, ISSN 1661-8254, 12/2017, Volume 11, Issue 8, pp. 1653 - 1668
The study of meromorphic functions without multiple values in the plane started by F. Nevanlinna is extended to meromorphic functions in the punctured plane... 
Operator Theory | Analysis | Deficiency | Mathematics, general | 30J10 | Mathematics | Complex differential equation | Nevanlinna theory | 30D35 | Asymptotic value | MATHEMATICS | MATHEMATICS, APPLIED
Journal Article
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