Approximation in the Mean by Analytic Functions
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Publication:5645706
DOI10.2307/1995714zbMath0236.30045OpenAlexW4240706141MaRDI QIDQ5645706
Publication date: 1972
Full work available at URL: https://doi.org/10.2307/1995714
Spaces of bounded analytic functions of one complex variable (30H05) Approximation in the complex plane (30E10) Capacity and harmonic measure in the complex plane (30C85) Banach spaces of continuous, differentiable or analytic functions (46E15) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
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Cites Work
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- An approximation theorem
- A connection between \(\alpha\)-capacity and \(L^ p\)-classes of differentiable functions
- Extremal length as a capacity
- Invariant subspaces and rational approximation
- \(L_p\) approximation by analytic functions
- Quasi topologies and rational approximation
- On the existence of certain singular integrals
- Sur la convergence de certaines intégrales de la théorie du potentiel
- Extremal problems for certain classes of analytic functions in finitely connected regions
- Mergelyan's Theorem on Uniform Polynomial Approximation.
- Weighted Mean Approximation in Carathéodory Regions.
- On Generalized Potentials of Functions in the Lebesgue Classes.
- A Theorem about Fractional Integrals
