CHALENDAR, Isabelle; ESTERLE, Jean; PARTINGTON, Jonathan R.

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Licencia de uso del documento

CHALENDAR, Isabelle
Équations aux dérivées partielles, analyse [EDPA]

ESTERLE, Jean
Institut de Mathématiques de Bordeaux [IMB]

PARTINGTON, Jonathan R.
School of Mathematics

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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 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

URI

https://oskar-bordeaux.fr/handle/20.500.12278/189361

Proyecto ANR

/ - ANR-09-BLAN-0058

Orígen

Importado de Hal

Centros de investigación

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251