Discrete hilbert transforms and rearrangement invariant sequence spaces

DOI10.1080/00036817608839120zbMath0326.44003OpenAlexW1969413200WikidataQ58278039 ScholiaQ58278039MaRDI QIDQ4090850

Kenneth F. Andersen

Publication date: 1976

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817608839120

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) Maximal functions, Littlewood-Paley theory (42B25) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

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The optimal symmetric quasi-Banach range of the discrete Hilbert transform ⋮ Discrete harmonic analysis associated with ultraspherical expansions ⋮ Weighted estimates of singular integrals and their applications

Cites Work

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• Basic properties of discrete analytic functions
• Conjugate functions in Orlicz spaces
• On the theory of spaces \(\Lambda\)
• Uniform convexity in function spaces
• The Hilbert Transform on Rearrangement-Invariant Spaces
• Indices of Function Spaces and their Relationship to Interpolation