Circle companions of Hardy spaces of the unit disk

DOI10.1016/J.JFA.2023.110159zbMath1527.42035MaRDI QIDQ6072350

Woo Young Lee, In Sung Hwang, Raúl E. Curto, Sumin Kim

Publication date: 13 October 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

operator-valued Hardy spacescircle companionsstrong boundary functionsstrong Poisson integrals

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Spaces of vector- and operator-valued functions (46E40) (H^p)-spaces (42B30) Hardy spaces (30H10)

Cites Work

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• Analytic martingale convergence
• Boundary values of functions in vector-valued Hardy spaces and geometry on Banach spaces
• Some characterizations of the analytic Radon-Nikodým property in Banach spaces
• Boundary properties of analytic and harmonic functions with values in Banach space
• Operator-valued rational functions
• The Beurling-Lax-Halmos theorem for infinite multiplicity
• Analysis in Banach Spaces
• The Analytic Radon-Nikodym Property in Lebesgue Bochner Function Spaces

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