6 papers · 1 filter
On a pointwise inequality for even Legendre polynomials in high dimensional spheres
Shirong Chen, Yi C. Huang, Jian-Yang Zhang
We present a pointwise inequality for adjacent even Legendre polynomials in high dimensional spheres featuring the effect of spectral gaps. This improves a recent result of Imbert,…
A one-line proof of a minimax theorem (for a notion of curvature on finite graphs)
Yi C. Huang
A one-line proof of a minimax theorem due to Steinerberger is given.
Refined diameter bounds under curvature dimension conditions
Yi C. Huang, Ze Yang
In this article we derive an explicit diameter bound for graphs satisfying the so-called curvature dimension conditions . This refines a recent result due to Liu, Münch an…
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…
A two-point generalisation of the Agmon estimate for Schrödinger operators on connected graphs
Yi C. Huang
We provide in this Letter a two-point generalisation of the Agmon estimate for Schrödinger operators on graphs recently established by S. Steinerberger. It reduces to his estimate…
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…