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math.FA2020
Sarason Toeplitz product problem for a class of Fock spaces
Helene Bommier-Hato, El Hassan Youssfi, Kehe Zhu
Sarason Toeplitz product problem asks when the operator TuTv is bounded on various Hilbert spaces of analytic functions, where u and v are analytic. The problem is highly nontrivia…
math.CV2020
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…