Uniform Approximation by Rational Modules on Nowhere Dense Sets

DOI10.2307/2043986zbMath0472.30032OpenAlexW4250196420MaRDI QIDQ3926851

Tavan T. Trent, James Li-Ming Wang

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043986

zbMATH Keywords

Cauchy transformsrational moduleannihilating measure

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Commutative Banach algebras and commutative topological algebras (46J99)

Related Items (13)

Density of certain polynomial modules ⋮ On \(L^1\)-estimates of derivatives of univalent rational functions ⋮ Bounded point evaluations for certain polynomial and rational modules ⋮ The calculation of the \(L^2\)-norm of the index of a plane curve and related formulas ⋮ Nevanlinna domains and uniform approximation by polyanalytic polynomial modules ⋮ Cauchy transform and uniform approximation by polynomial modules ⋮ A Thought on Approximation by Bi-Analytic Functions ⋮ Approximation by rational modules in \(L^ p\) and BMO ⋮ Approximation by rational modules in Sobolev and Lipschitz norms ⋮ Nevanlinna domains with large boundaries ⋮ Subnormal operators, self-commutators, and pseudocontinuations ⋮ Polyanalytic forms on compact Riemann surfaces ⋮ Mergelyan's approximation theorem for rational modules

Cites Work

• Rational modules and higher order Cauchy transforms
• Annihilators of rational modules
• Approximation by rational modules on nowhere dense sets
• Bounded approximation and Dirichlet sets

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