FUNCTIONAL CALCULI FOR SECTORIAL OPERATORS AND RELATED FUNCTION THEORY

We construct two bounded functional calculi for sectorial operators on Banach spaces, which enhance the functional calculus for analytic Besov functions, by extending the class of functions, generalising and sharpening estimates and adapting the calculus to the angle of sectoriality. The calculi are...

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Veröffentlicht in:	Journal of the Institute of Mathematics of Jussieu 2023-05, Vol.22 (3), p.1383-1463
Hauptverfasser:	Batty, Charles, Gomilko, Alexander, Tomilov, Yuri
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Banach spaces Calculi Calculus Estimates Function space Functionals Generators Hilbert space Mathematical analysis Operators (mathematics)
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