4 papers · 1 filter
Norm bounds for self-adjoint Toeplitz operators with non-radial symbols on the Fock space
Yi C. Huang, Jian-Yang Zhang
In this paper we extend Galbis' elegant norm bounds for self-adjoint Toeplitz operators on the Fock space to bounded and integrable symbols which are non-radial. The main ingredien…
On noncommutative Hölder inequality of Sukochev and Zanin for weak Schatten class
Yi C. Huang, Sijie Luo
Sukochev and Zanin resolved an open problem due to B. Simon concerning optimal constants in Hölder inequality for the weak Schatten classes of compact operators. In this note we ob…
On Galbis' integration lemmas
Yi C. Huang, Fei Xue
We simplify in this note Galbis' proof of certain norm estimates for self-adjoint Toeplitz operators on the Fock space. This relies on an extension (and a unification) of his integ…
Maximal regularity under quadratic estimates
Yi C. Huang
In this Short Note we complement the intriguing harmonic analytic perspective due to P. Auscher and A. Axelsson for the abstract evolution equations. This concerns a unified approa…