Szegö theorem, Carathéodory domains, and boundedness of calculating functionals

DOI10.1007/s11006-005-0001-7zbMath1079.30053OpenAlexW2050910586MaRDI QIDQ2387821

Fahreddin G. Abdullayev, Aleksey A. Dovgoshey

Publication date: 5 September 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0001-7

zbMATH Keywords

polynomial approximationLebesgue decompositionharmonic measureBorel measurecompact supportLebesgue measureBPE point of polynomialscalculating functional

Mathematics Subject Classification ID

Trigonometric approximation (42A10) Approximation in the complex plane (30E10)

Cites Work

• Prediction theory and Fourier series in several variables
• Extension of a theorem of Szegö
• A class of $P^t(d\mu )$ spaces whose point evaluations vary with $t$
• An extension of Szego's theorem, II
• Bounded Point Evaluations and Polynomials Approximation
• On the Regular Behaviour of Orthogonal Polynomials
• Approximation in the mean by polynomials
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