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Radial balanced metrics on the unit ball of the Kepler manifold
Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi
We show that there is no radial balanced metric on the unit ball of the Kepler manifold with not too wild boundary behavior. Additionally, we identify explicitly the weights corres…
De Branges spaces and Fock spaces
Anton Baranov, Hélène Bommier-Hato
Relations between two classes of Hilbert spaces of entire functions, de Branges spaces and Fock-type spaces with non-radial weights, are studied. It is shown that any de Branges sp…
Big Hankel operators on vector-valued Fock spaces in $\C^d$
Helene Bommier-Hato, Olivia Constantin
We study big Hankel operators acting on vector-valued Fock spaces with radial weights in $\C^d$. We provide complete characterizations for the boundedness, compactness and Schatten…
Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold
Hélène Bommier-Hato, Miroslav Engliš, El-Hassan Youssfi
For a class of invariant measures on the Kepler manifold possessing finite moments of all orders, we describe the reproducing kernels of the associated Bergman spaces, d…
Bergman-type projections in generalized Fock spaces
Helene Bommier-Hato, Miroslav Englis, El-Hassan Youssfi
We give criteria for boundedness of the associated Bergman-type projections on Lp-spaces on Cn with respect to generalized Gaussian weights exp(-|z|^2m). Complete characterization…