The Franklin System as Schauder Basis for L p μ [ 0, 1 ]

DOI10.2307/2047556zbMATH Open0651.46016OpenAlexW4249270105MaRDI QIDQ3796194

Robert E. Zink

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047556

zbMATH Keywords

Schauder basisFranklin systemMuckenhoupt conditiontotally-finite Borel measure

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) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (2)

Unboundedness of the shift operator with respect to the Franklin system in the space \(L_ 1\) ⋮ The Franklin system is an unconditional basis in \(H_ 1\)

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