Lower estimates near the origin for functional calculus on operator semigroups
Idioma
en
Article de revue
Este ítem está publicado en
Journal of Functional Analysis. 2015-09-15, vol. 269, n° 06, p. 1620-1635
Elsevier
Resumen en inglés
This paper provides sharp lower estimates near the origin for the functional calculus F(−uA) of a generator A of an operator semi- group defined on the (strictly) positive real line; here F is given as the Laplace transform ...Leer más >
This paper provides sharp lower estimates near the origin for the functional calculus F(−uA) of a generator A of an operator semi- group defined on the (strictly) positive real line; here F is given as the Laplace transform of a measure or distribution. The results are linked to the existence of an identity element or an exhaustive sequence of idempotents in the Banach algebra generated by the semigroup. Both the quasinilpotent and non-quasinilpotent cases are considered, and sharp results are proved extending many in the literature.< Leer menos
Proyecto ANR
/ - ANR-09-BLAN-0058
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