Boundary quasi-analyticity and a Phragmén–Lindelöf type theorem in classes of functions of bounded type in tubular domains

DOI10.1090/SPMJ/1741zbMath1504.32011OpenAlexW4307715020WikidataQ115039716 ScholiaQ115039716MaRDI QIDQ5047972

F. A. Shamoyan

Publication date: 17 November 2022

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1741

zbMATH Keywords

Phragmén-Lindelöf theoremboundary valuesquasi-analyticityNevanlinna and Carleman classes

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Boundary behavior of holomorphic functions of several complex variables (32A40) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Cites Work

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• On Fourier transforms of functions of bounded type in tubular domains
• Fourier transform and quasi-analytic classes of functions of bounded type on tubular domains
• On Fourier transforms of functions of the R. Nevanlinna class in the half-plane

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