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UID:7787@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160613T100000
DTEND;TZID=Europe/Paris:20160613T110000
DTSTAMP:20241120T204831Z
URL:https://www.i2m.univ-amu.fr/evenements/espaces-de-bergman-orlicz-espac
 es-de-fonctions-holomorphes-a-croissance-lente-et-leurs-operateurs-de-comp
 osition/
SUMMARY:Stéphane Charpentier (I2M\, Aix-Marseille Université): Espaces de
  Bergman-Orlicz\, espaces de fonctions holomorphes à croissance lente\, e
 t leurs opérateurs de composition
DESCRIPTION:Stéphane Charpentier: Bergman-Orlicz spaces\, spaces of slowly
  growing holomorphic functions\, and their composition operators\nWe show 
 that the weighted Bergman-Orlicz space 𝐴𝜓𝛼 coincides with some we
 ighted Banach space of holomorphic functions if and only if the Orlicz fun
 ction 𝜓 satisfies the so-called Δ2--condition. In addition we prove th
 at this condition characterizes those 𝐴𝜓𝛼 on which every composit
 ion operator is bounded or order bounded into the Orlicz space 𝐿𝜓
 𝛼. This provides us with estimates of the norm and the essential norm o
 f composition operators on such spaces. We also prove that when 𝜓 satis
 fies the Δ2--condition\, a composition operator is compact on 𝐴𝜓
 𝛼 if and only if it is order bounded into the so-called Morse-Transue s
 pace 𝑀𝜓𝛼. Our results stand in the unit ball of ℂ𝑁.\nhttps:/
 /hal.archives-ouvertes.fr/hal-01384215v3/\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Stephane_Charpentier.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20160327T030000
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