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UID:8261@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20141103T100000
DTEND;TZID=Europe/Paris:20141103T110000
DTSTAMP:20241120T210315Z
URL:https://www.i2m.univ-amu.fr/evenements/bornitude-de-loperateur-de-deri
 vation-dans-les-espaces-modeles-et-applications-aux-inegalites-de-peller/
SUMMARY:Rachid Zarouf (I2M\, Aix-Marseille Université): Bornitude de l'op
 érateur de dérivation dans les espaces modèles et applications aux iné
 galités de Peller
DESCRIPTION:Rachid Zarouf: Boundedness of the differentiation operator in m
 odelspaces and application to Peller type inequalities\nGiven an inner fun
 ction $\\Theta$ in the unit disc $\\mathbb{D}$\, we study the boundedness 
 of the differentiation operator which acts from from the model subspace $K
 _{\\Theta}=\\left(\\Theta H^{2}\\right)^{\\perp}$ of the Hardy space $H^{2
 }\,$ equiped with the $BMOA$-norm\, to some radial-weighted Bergman space.
  As an application\, we generalize Peller's inequality for Besov norms of 
 rational functions $f$ of degree $n\\geq1$ having no poles in the closed u
 nit disc $\\overline{\\mathbb{D}}$.\nhttps://hal.archives-ouvertes.fr/hal-
 01044624v2/\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Rachid_Zarouf.jpg
CATEGORIES:Séminaire,Analyse et Géométrie
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DTSTART:20141026T020000
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