A converse extrapolation theorem for translation-invariant operators

DOI10.1006/jfan.2000.3646zbMath0987.47021arXivmath/9912001OpenAlexW2079377400MaRDI QIDQ5929864

Terence C. Tao

Publication date: 18 June 2002

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

Full work available at URL: https://arxiv.org/abs/math/9912001

zbMATH Keywords

interpolationOrlicz spacesCompact symmetric space/groupextrapolationtranslation-invariant operator

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) Linear operators on function spaces (general) (47B38)

Related Items

Noncommutative multi-parameter Wiener-Wintner type ergodic theorem, A sharp extrapolation theorem for Lorentz spaces, On weighted norm inequalities for the Carleson and Walsh-Carleson operator, A note on extrapolation theory, The multilinear strong maximal function, Noncommutative strong maximals and almost uniform convergence in several directions, Limiting interpolation spaces via extrapolation, Noncommutative extrapolation theorems and applications, Extrapolation theory: new results and applications, Extrapolation results for \(q < 1\), Sharp asymptotic estimates for a class of Littlewood–Paley operators, On a problem of Pichorides, Endpoint mapping properties of the Littlewood–Paley square function

Cites Work

• Endpoint multiplier theorems of Marcinkiewicz type
• Besicovitch type maximal operators and applications to Fourier analysis
• Notes on Fourier analysis. XXIX. An extrapolation theorem
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