INTEGRAL REPRESENTATIONS OF THE DERIVATIVES IN H(b) SPACES.

Emmanuel Fricain (1, 2) , Javad Mashreghi (3)

1 ICJ - Institut Camille Jordan
2 EDPA - Équations aux dérivées partielles, analyse
3 ULaval - Université Laval [Québec]

In this survey, we provide integral representations for the boundary values of derivatives of functions in the de Branges{Rovnyak spaces $H(b)$, where $b$ is in the unit ball of $H^\infty$. To achieve this goal, we need to study several properties of Blaschke products which are interesting in their own right.

Domaines: Analyse fonctionnelle [math.FA]

Emmanuel Fricain, Javad Mashreghi. INTEGRAL REPRESENTATIONS OF THE DERIVATIVES IN H(b) SPACES.. Invariant Subspaces of the Shift Operator, 638, pp.137--179, 2015, 978-1-4704-1045-2. ⟨hal-00946834v2⟩