Annihilating measures of the algebra R(X)

DOI10.1016/0022-1236(84)90038-7zbMath0551.46032OpenAlexW2050369989MaRDI QIDQ801259

Dmitry Khavinson

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90038-7

zbMATH Keywords

Cauchy transformalgebra of rational functionsanalytic differentialsanalytic measuresspace of all annihilating measures

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)

Related Items (12)

Approximation by harmonic functions in the \(C^ 1\)-norm and harmonic \(C^ 1\)-content of compact subsets in \(\mathbb{R}^ n\) ⋮ On an extremal problem in the theory of rational approximation ⋮ F. and M. Riesz theorem, analytic balayage, and problems in rational approximation ⋮ On a annihilators of harmonic vector fields ⋮ Analytic content and the isoperimetric inequality in higher dimensions ⋮ The isoperimetric inequality via approximation theory and free boundary problems ⋮ Approximating \overline{𝑧} in the Bergman Space ⋮ Uniform approximation by \(\square _b\)-harmonic functions ⋮ On the Cauchy transform vanishing outside a compact ⋮ A free boundary problem associated with the isoperimetric inequality ⋮ Potential theory and approximation: highlights from the scientific work of Stephen Gardiner ⋮ Symmetry and Uniform Approximation by Analytic Functions

Cites Work

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• On certain extremum problems for analytic functions
• $R(X)$ as a Dirichlet Algebra and Representation of Orthogonal Measures by Differentials.
• Functions whose partial derivatives are measures

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