Individual boundedness condition for positive definite sesquilinear form valued kernels
Integral representation of the -th derivative in de Branges-Rovnyak spaces and the norm convergence of its reproducing kernel
In this paper, we give an integral representation for the boundary values of derivatives of functions of the de Branges–Rovnyak spaces , where is in the unit ball of . In particular, we generalize a result of Ahern–Clark obtained for functions of the model spaces , where is an inner function. Using hypergeometric series, we obtain a nontrivial formula of combinatorics for sums of binomial coefficients. Then we apply this formula to show the norm convergence of reproducing kernel of evaluation...
Integralungleichungen aus der Hilbertraum-Theorie.
Invariant Hilbert spaces of holomorphic functions.
Invariant inner product in spaces of holomorphic functions on bounded symmetric domains.