The \(q\)-variation of functions and spectral integration of Fourier multipliers

DOI10.1215/S0012-7094-97-08804-9zbMath0883.43007OpenAlexW1985507299MaRDI QIDQ1363172

Earl Berkson, T. Alastair Gillespie

Publication date: 3 February 1998

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-97-08804-9

zbMATH Keywords

Banach algebrasspectral integrationPaley-Littlewood theoryFourier multiplier algebra

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22) Multipliers in one variable harmonic analysis (42A45)

Related Items

Operator ergodic theory for one-parameter decomposable groups ⋮ Maximal functions and transference for groups of operators

Cites Work

• Stečkin's theorem, transference, and spectral decompositions
• A Littlewood-Paley inequality for arbitrary intervals
• On \(L_ p\) multipliers
• Transference and Extension of Fourier Multipliers for L ^p (T)
• Spectral Integration of Marcinkiewicz Multipliers
• Restrictions and extensions of Fourier multipliers
• On the Convergence of Ordered Sets of Projections
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