Hankel operators between Hardy-Orlicz spaces and products of holomorphic functions

Benoit Sehba (Glasgow)

Tuesday 27th October, 2009 16:00-17:00 214

Abstract

We consider Hardy-Orlicz spaces of holomorphic functions, which are preduals of spaces of BMOA type with weight. We characterise the symbols of Hankel operators that extend into bounded operators between two Hardy-Orlicz spaces. We also consider the closely related question of integrability properties of the product of two functions, one in a Hardy-Orlicz space and the other in the dual of a Hardy-Orlicz space. Joint work with Aline Bonami.

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