Hélène BOMMIER: Little Hankel operators on a class of vector-valued Fock spaces

For a separable Hilbert space \mathcal H, we consider the vector
valued Fock space F^2_{m,\alpha}( \mathcal H) of those holomorphic
functions f:\C^d-> \ mathcal H which are square integrable with
respect to the measure e^{-\alpha|z |^{2m]}, m \geq 1, \alpha >0.  I
will present some properties of the space F^2_{\alpha}( \mathcal H)
and some spectral properties of the little Hankel operator h_b, of
symbol b: \C^d-> \mathcal L( \mathcal H), defined on F^2_{\ alpha}(
\mathcal H).