A proof of Fatou's interpolation theorem

DOI10.1007/s00041-022-09936-4zbMath1492.30101arXiv2003.07963OpenAlexW3010734438WikidataQ113906224 ScholiaQ113906224MaRDI QIDQ2135775

Arthur A. Danielyan

Publication date: 9 May 2022

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.07963

zbMATH Keywords

disk algebraelementary proofFatou's interpolation theorem

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Moment problems and interpolation problems in the complex plane (30E05) Algebras of analytic functions of one complex variable (30H50)

Cites Work

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• Fatou's interpolation theorem implies the Rudin-Carleson theorem
• A theorem of Lohwater and Piranian
• On Fatou's theorem