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Some new results on the semiduality of small sets of analytic functions
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Jürgen Grahl
Veröffentlicht/Copyright:
25. September 2009
Abstract
Continuing work from [5], we use some normality criteria to show that certain sets of two analytic functions are not semidual. In particular, sets of the form V := {z ↦ 1/(1 - z);φ} where φ is a rational function analytic in the unit disk are studied, and sufficient conditions for V being not semidual are given.
Published Online: 2009-09-25
Published in Print: 2009-04
© by Oldenbourg Wissenschaftsverlag, München, Germany
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Artikel in diesem Heft
- Restrictions of power series and functions to algebraic surfaces
- Approximate continuity and topological Boolean algebras
- A Tauberian theorem for absolute quasi-Nörlund means
- Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem
- Some new results on the semiduality of small sets of analytic functions
- A note on globally defined analytic sets
- Counterexamples to symmetry for partially overdetermined elliptic problems
- A uniqueness-type problem for linear iterative equations
- A new bound of Mason´s theorem
Artikel in diesem Heft
- Restrictions of power series and functions to algebraic surfaces
- Approximate continuity and topological Boolean algebras
- A Tauberian theorem for absolute quasi-Nörlund means
- Boundary Nevanlinna–Pick interpolation for Nevanlinna matrix functions and the related Hamburger matrix moment problem
- Some new results on the semiduality of small sets of analytic functions
- A note on globally defined analytic sets
- Counterexamples to symmetry for partially overdetermined elliptic problems
- A uniqueness-type problem for linear iterative equations
- A new bound of Mason´s theorem
