APPROXIMATION BY RATIONAL FUNCTIONS, AND AN ANALOGUE OF THE M. RIESZ THEOREM ON CONJUGATE FUNCTIONS FOR $ L^p$-SPACES WITH $ p\in(0,\,1)$

DOI10.1070/SM1979V035N03ABEH001481zbMath0426.30005OpenAlexW2029455435MaRDI QIDQ3861654

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Publication date: 1979

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1979v035n03abeh001481

zbMATH Keywords

conjugate functionsapproximation in the complex planecompleteness problemsclosure in Lprational approximation in Lp-metric

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Approximation by rational functions (41A20) Conjugate functions, conjugate series, singular integrals (42A50) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items (2)

Rational approximation of functions in Hardy spaces ⋮ Hardy space decompositions of L^p(ℝⁿ) for 0 < p < 1 with rational approximation

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