Thomson’s theorem on mean square polynomial approximation
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Publication:5481299
DOI10.1090/S1061-0022-06-00901-0zbMath1101.41010MaRDI QIDQ5481299
Publication date: 9 August 2006
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Subnormal operators, hyponormal operators, etc. (47B20) Approximation in the complex plane (30E10) Approximation by polynomials (41A10) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)
Related Items (7)
Approximation in the mean on rational curves ⋮ Bounded point evaluations for certain polynomial and rational modules ⋮ Bounded point evaluations for rationally multicyclic subnormal operators ⋮ Boundary values in spaces spanned by rational functions and the index of invariant subspaces ⋮ Three Problems in Function Theory ⋮ Spectral picture for rationally multicyclic subnormal operators ⋮ Moment estimates of the cloud of a planar measure
Cites Work
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- Some invariant subspaces for subnormal operators
- Point evaluations, invariant subspaces and approximation in the mean by polynomials
- Inequalities on Bergman spaces
- Analytic capacity, rectifiability, Menger curvature and the Cauchy integral
- Painlevé's problem and the semiadditivity of analytic capacity.
- The Cauchy integral, analytic capacity, and uniform rectifiability
- \(L^2\)-boundedness of the Cauchy integral operator for continuous measures
- Invariant subspaces and weighted polynomial approximation
- Extremal length as a capacity
- Non-linear potentials and approximation in the mean by analytic functions
- Analytic capacity and measure
- Bounded analytic functions
- Subnormal operators
- Les espaces du type de Beppo Levi
- The Cauchy integral and analytic continuation
- Invariant Subspaces for Algebras of Subnormal Operators
- Golubev sums: a theory of extremal problems like the analytic capacity problem and of related approximation processes
- On the analytic capacity gamma_+
- Analytic capacity: discrete approach and curvature of measure
- Mergelyan's Theorem on Uniform Polynomial Approximation.
- A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
- Analytic Capacity and Approximation Problems
- Approximation in the mean by polynomials
- Functions whose partial derivatives are measures
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