Maximal functions and transference for groups of operators

DOI10.1017/S0013091500020691zbMath0948.42010OpenAlexW2098367393MaRDI QIDQ4487713

Gordon Blower

Publication date: 22 June 2000

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

Full work available at URL: https://doi.org/10.1017/s0013091500020691

zbMATH Keywords

maximal functionsSchrödinger grouptransference methodAiry group

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) One-parameter semigroups and linear evolution equations (47D06) Multipliers for harmonic analysis in several variables (42B15) Partial differential equations of mathematical physics and other areas of application (35Q99) Operator sine and cosine functions and higher-order Cauchy problems (47D09)

Related Items

Transference principles for semigroups and a theorem of Peller

Cites Work

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• A Littlewood-Paley inequality for arbitrary intervals
• The \(q\)-variation of functions and spectral integration of Fourier multipliers
• A remark on Schrödinger operators
• Fourier multipliers for \(L_ p (\mathbb{R}^ n)\) via \(q\)-variation
• Essential self-adjointness of powers of generators of hyperbolic equations
• Abstract Spectral Decompositions Guaranteed by the Hilbert Transform
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)