Emmanuel Fricain

THE CHARACTERISTIC FUNCTION OF A COMPLEX SYMMETRIC CONTRACTION

It is shown that a contraction on a Hilbert space is complex sym- metric if and only if the values of its characteristic function are all symmetric with respect to a fixed conjugation. Applications are given to the description of complex symmetric contractions with defect indices equal to 2.

Weighted norm inequalities for de Branges-Rovnyak spaces and their applications

Let

Reverse Carleson embeddings for model spaces

{\cal H}(b)

Uniqueness theorems for analytic vector-valued functions

denote the de Branges--Rovnyak space associated with a function

Carleson measures and reproducing kernel thesis in Dirichlet-type spaces

b

Zero-free regions for Dirichlet series

in the unit ball of

On a characterization of finite Blaschke products

H^\infty({\Bbb C}_+)

Bounded symbols and Reproducing Kernel Thesis for truncated Toeplitz operators

. We study the boundary behavior of the derivatives of functions in

Bases of reproducing kernels in model spaces

{\cal H}(b)

ON AN EXTREMAL PROBLEM OF GARCIA AND ROSS

and obtain weighted norm estimates of the form