5 papers
Integral representation of the -th derivative in de Branges-Rovnyak spaces and the norm convergence of its reproducing kernel
Emmanuel Fricain, Javad Mashreghi
In this paper, we give an integral representation for the boundary values of derivatives of functions of the de Branges--Rovnyak spaces $\HH(b)$, where is in the unit ball of $…
Weighted norm inequalities for de Branges--Rovnyak spaces and their applications
Anton Baranov, Emmanuel Fricain, Javad Mashreghi
Let denote the de Branges--Rovnyak space associated with a function in the unit ball of . We study the boundary behavior of the derivat…
Boundary behavior of functions in the de Branges--Rovnyak spaces
Emmanuel Fricain, Javad Mashreghi
This paper deals with the boundary behavior of functions in the de Branges--Rovnyak spaces. First, we give a criterion for the existence of radial limits for the derivatives of fun…
Exceptional sets for the derivatives of Blaschke products
Emmanuel Fricain, Javad Mashreghi
We obtain growth estimates for the logarithmic derivative of a Blaschke product as and avoids some exceptional sets.
Integral means of the derivatives of Blaschke products
Emmanuel Fricain, Javad Mashreghi
We study the rate of growth of some integral means of the derivatives of a Blaschke product and we generalize several classical results. Moreover, we obtain the rate of growth of i…