arXiv subjects

Jian-Yang Zhang

Publications and source records attributed to Jian-Yang Zhang.

2 recordsLinked to original sources

arXiv2024

On a pointwise inequality for even Legendre polynomials in high dimensional spheres

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, Silvestre and Villani that is crucially used in their study of the Fisher information for the Boltzmann equation.

math.CA↗

arXiv2024

Norm bounds for self-adjoint Toeplitz operators with non-radial symbols on the Fock space

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 ingredients are a transplantation of the remarkable Nicola-Tilli isoperimetric inequality to the realm of Fock-Toeplitz operator theory and a two-dimensional adaption of Galbis' integration and approximation arguments.

math.FA↗