Spaces of analytic functions
Stević-Sharma type operators on Fock spaces in several variables
Let be an entire self-map of , be an entire function on and be a vector-valued entire function on . We extend the Stević-Sharma type operator to the classcial Fock spaces, by defining an operator as follows: We investigate the boundedness and compactness of on Fock spaces. The complex symmetry and self-adjointness of are also characterized.
Strict continuous homomorphisms on spaces of bounded holomorphic functions.
Let HE∞ be the space of all bounded holomorphic functions on the unit ball of the Banach space E. In this note we study the algebra homomorphisms on HE∞ which are strict continuous.
Sur l’espace
Sur un problème de W. Rudin concernant les fonctions holomorphes et borneés
The algebra of bounded analytic functions on a Riemann surface.
The angular distribution of mass by Bergman functions.
Let D = {z: |z| < 1} be the unit disk in the complex plane and denote by dA two-dimensional Lebesgue measure on D. For ε > 0 we define Σε = {z: |arg z| < ε}. We prove that for every ε > 0 there exists a δ > 0 such that if f is analytic, univalent and area-integrable on D, and f(0) = 0 thenThis problem arose in connection with a characterization by Hamilton, Reich and Strebel of extremal dilatation for quasiconformal homeomorphisms of D.
The angular distribution of mass by weighted Bergman functions.
The canonical injection of the Hardy-Orlicz space into the Bergman-Orlicz space
We study the canonical injection from the Hardy-Orlicz space into the Bergman-Orlicz space .
The canonical solution operator to aDOb∂aFOb restricted to spaces of entire functions
The Corona Theorem for Matrices.
The Dynamics of Inner Functions. / Claus I. Doering; Ricardo Mané.
The generalized Toeplitz operators on the Fock space
Let be a positive Borel measure on the complex plane and let with . We study the generalized Toeplitz operators on the Fock space . We prove that is bounded (or compact) on if and only if is a Fock-Carleson measure (or vanishing Fock-Carleson measure). Furthermore, we give a necessary and sufficient condition for to be in the Schatten -class for .
The holomorphic automorphism group of the complex disk.
The metric space , 0
The Modulus of Rudin-Carleson Extensions.
The numerical range of Toeplitz operator on the polydisk.
The projective limit of the spaces
The punctured plane: alternating projections and -angles
The range of vector valued holomorphic mappings