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.AP2023
On the bilinear estimate of Ozawa and Rogers for the one-dimensional Klein-Gordon equation and some related lower Jacobian estimates
Shirong Chen, Yi C. Huang, Shaozhen Xu
We give a natural convexity proof of an elementary inequality used by Ozawa and Rogers in proving their bilinear estimate for the one-dimensional Klein-Gordon equation. This robust…