Superposition Operators in Zygmund and BMO Spaces

Gérard Bourdaud ()
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Gérard Bourdaud: Institut de Mathématiques de Jussieu Equipe d’Analyse Fonctionnelle

A chapter in Function Spaces, Differential Operators and Nonlinear Analysis, 2003, pp 59-74 from Springer

Abstract: Abstract We characterize the functionsffor which the superposition operatorT f (g):= f ○ g acts in the Hölder-Zygmund spaces Bs ∞,∞(ℝn) and in the spacesBMO(ℝn), V MO(ℝn), CMO(ℝn). Further we study the continuity and the differentiability ofT f in those various function spaces.

Keywords: Compact Subset; Toeplitz Operator; Besov Space; Functional Calculus; Related Space (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-8035-0_4

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DOI: 10.1007/978-3-0348-8035-0_4

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