5 papers · 1 filter
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…
On Landau-Kato inequalities via semigroup orbits
Yi C. Huang, Yanlu Lian, Fei Xue
Let . Given a strongly continuous semigroup on a Banach space and an element satisfying the exponential orbital estimates $$\|e^{tA}f\|\leq…
The forward maximal regularity operator commutes with the backward
Yi C. Huang
Given a generator of a bounded analytic semigroup on a Hilbert space, we show that the corresponding forward maximal regularity operator commutes with the backward. In particular,…