Approximating Continuous Functions by Holomorphic and Harmonic Functions
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Publication:3469357
DOI10.2307/2001152zbMath0694.30044OpenAlexW4230953700MaRDI QIDQ3469357
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2001152
BMOAbounded analytic functionsfunction algebrasWidom domainChang-Marshall theorem\({\bar\partial}\)-equationWermer's maximility theorem
Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Approximation in the complex plane (30E10)
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Cites Work
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- \(L^\infty\) estimates for the \(\bar\partial\) problem in a half-plane
- The Corona theorem for Denjoy domains
- Critical points of Green's function, harmonic measure, and the corona problem
- Harmonic measures supported on curves
- Constructing continuous functions holomorphic to a curve
- Approximation by polynomials in two complex variables
- Spaces of type \(H^\infty+C\)
- Functional relationships between a subnormal operator and its minimal normal extension
- Subalgebras of \(L^\infty\) containing \(H^\infty\)
- Carleson measures and the Fefferman-Stein decomposition of BMO\((\mathbb{R})\)
- Bounded holomorphic functions and projections
- Canonical polygons for finitely generated Fuchsian groups
- On Poincaré series with application to \(H^ P\) spaces on bordered Riemann surfaces
- Maximal algebras of continuous functions
- The maximum principle for multiple-valued analytic functions
- Pointwise bounded approximation and Dirichlet algebras
- Analytic capacity and measure
- Interpolations by bounded analytic functions and the corona problem
- Approximation on a disk
- Polynomially convex disks
- Approximation by polynomials in two diffeomorphisms
- Algebras on the Disk and Doubly Commuting Multiplication Operators
- On uniform algebras containingA(K)
- A Geometric Characterization of Analytic Functions with Bounded Mean Oscillation
- Another View of the Weierstrass Theorem
- On the Green's function of Fuchsian groups
- On Analytic Functions of Bounded Mean Oscillation
- Uniform Approximation on Compact Sets in $\mathsf{C}^n$.
- Constructive Techniques in Rational Approximation
- Approximation on Disks
- Algebras of functions on the unit circle
- Distance Estimates and Pointwise Bounded Density
- On Algebras of Continuous Functions
- A constructive proof of the Chang-Marshall theorem
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