Geodesic
Spectral Integration of Marcinkiewicz Multipliers
Canadian journal of mathematics, Tome 45 (1993) no. 3, pp. 470-482

Voir la notice de l'article provenant de la source Cambridge University Press

Let X be a closed subspace of LP (μ), where μ is an arbitrary measure and 1 < p < ∞. By extending the scope of spectral integration, we show that every invertible power-bounded linear mapping of X into X has a functional calculus implemented by the algebra of complex-valued functions on the unit circle satisfying the hypotheses of the Strong Marcinkiewicz Multiplier Theorem. This result expands the framework of the Strong Marcinkiewicz Multiplier Theorem to the setting of abstract measure spaces.
DOI : 10.4153/CJM-1993-024-7
Mots-clés : 42A45, 47B40 
Asmar, Nakhlé; Berkson, Earl; Gillespie, T. A. Spectral Integration of Marcinkiewicz Multipliers. Canadian journal of mathematics, Tome 45 (1993) no. 3, pp. 470-482. doi: 10.4153/CJM-1993-024-7
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