2 papers
math.CA2024
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,…
math.FA2024
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…