The Franklin system is an unconditional basis in \(H_ 1\)

DOI10.1007/BF02390514zbMath0534.46038OpenAlexW2048860916MaRDI QIDQ790386

Przemysław Wojtaszczyk

Publication date: 1982

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02390514

zbMATH Keywords

Franklin systemunconditional basisbiorthogonal functionalssequence of BMO functionsspace of Hankel operators

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

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Cites Work

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• Isomorphismes entre espaces \(H_ 1\)
• Contributions to the theory of the classical Banach spaces
• EXISTENCE OF A BASIS IN THE SPACE OF FUNCTIONS ANALYTIC IN THE DISK, AND SOME PROPERTIES OF FRANKLIN'S SYSTEM
• Extensions of Hardy spaces and their use in analysis
• Properties of the orthonormal Franklin system, II
• Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces
• Properties of the orthonormal Franklin system