论文标题
圆锥域中的雅各比热核的尖锐估计
Sharp estimates for Jacobi heat kernels in conic domains
论文作者
论文摘要
我们证明了在多维锥$ \ Mathbb {v}^{d+1} $及其表面$ \ Mathbb {V}^{d+1} _0 $的情况下，对jacobi热核的真正尖锐估计。为此，我们将XU探索的雅各比多项式的理论与Nowak，Sjögren和Szarek的最新技术结合在一起，以寻找对球形热啤酒的真正清晰的估计。
We prove genuinely sharp estimates for the Jacobi heat kernels introduced in the context of the multidimensional cone $\mathbb{V}^{d+1}$ and its surface $\mathbb{V}^{d+1}_0$. To do so, we combine the theory of Jacobi polynomials on the cone explored by Xu with the recent techniques by Nowak, Sjögren, and Szarek, developed to find genuinely sharp estimates for the spherical heat kernel.
