Pointwise bounded approximation and Dirichlet algebras
T. W. Gamelin,John Garnett +1 more
TLDR
In this paper, it was shown that the real parts of the functions in A(U) are uniformly dense in CR(∂U) if and only if each component of U is simply connected and each component is pointwise boundedly dense in H ∞(U).About:
This article is published in Journal of Functional Analysis.The article was published on 1971-12-01 and is currently open access. It has received 42 citations till now. The article focuses on the topics: Pointwise & Bounded function.read more
Citations
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Harmonic measures supported on curves.
Journal ArticleDOI
Distance estimates and pointwise bounded density
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Annihilators of rational modules
TL;DR: In this paper, the Cauchy transform is applied to derive results which relate approximation problems in different Lipshitz norms, and in the uniform norm, to one another, and the results are shown to be equivalent.
References
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Book
Lectures on quasiconformal mappings
TL;DR: The Ahlfors Lectures: Acknowledgments Differentiable quasiconformal mappings The general definition Extremal geometric properties Boundary correspondence The mapping theorem Teichmuller spaces Editors' notes.
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The boundary correspondence under quasiconformal mappings
A. Beurling,Lars V. Ahlfors +1 more
TL;DR: In this paper, boundary properties of quasiconformal self-mappings depending on complex dilatations were studied and conditions for the corresponding quasisymmetric func- tion to be asymptotically symmetric were given.
Book
Analytic capacity and measure
TL;DR: In this paper, the cauchy transform and Hausdorff measure are used to approximate the approximation of an approximation to a given function in terms of the number of nodes.Analytic capacity