• openAccess   Bloch functions on the unit ball of an infinite dimensional Hilbert space 

      Blasco de la Cruz, Oscar; Galindo Pastor, Pablo; Miralles Montolío, Alejandro (2015-07-03)
      The Bloch space has been studied on the open unit disk of C and some homogeneous domains of Cn. We define Bloch functions on the open unit ball of a Hilbert space E and prove that the corresponding space B(BE) is invariant ...
    • openAccess   Composition operators on the Bloch space of the unit ball of a Hilbert space 

      Blasco de la Cruz, Oscar; Galindo Pastor, Pablo; Lindström, Mikael; Miralles Montolío, Alejandro Duke University Press (2017)
      Every analytic self-map of the unit ball of a Hilbert space induces a bounded composition operator on the space of Bloch functions. Necessary and sufficient conditions for compactness of such composition operators are ...
    • openAccess   Interpolating sequences for weighted spaces of analytic functions on the unit ball of a Hilbert space 

      Blasco de la Cruz, Oscar; Galindo Pastor, Pablo; Lindström, Mikael; Miralles Montolío, Alejandro Springer Verlag (2018)
      We show that an interpolating sequence for the weighted Banach space of analytic functions on the unit ball of a Hilbert space is hyperbolically separated. In the case of the so-called standard weights, a su cient condition ...