3 papers
math.FA2023
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…
math.CA2023
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.
math.FA2023
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…