14 papers
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…
A proof of the Prelov conjecture
Yi C. Huang, Fei Xue
In this paper we present a complete proof of a conjecture due to V. V. Prelov in 2010 about an information inequality for the binary entropy function.
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…
Minimum number-phase uncertainty states via weighted Bergman spaces
Yi C. Huang
The number-phase uncertainty result of Luo via the Hardy space on unit disc (Phys Lett A, 2000) is extended in this paper to the scale of weighted Bergman spaces. The minimum uncer…