Generalized q-Fock spaces

This talk will cover a family of reproducing kernel Hilbert spaces that interpolate between the Hardy and Fock spaces using the q-calculus approach. We will demonstrate characterizations of these spaces in terms of classical operators, such as the integration and backward shift operators, as well as their q-calculus counterparts.

The results come from a common work with Daniel Alpay, Paula Cerejeiras and Uwe Kaehler.