电容、格林函数和Bergman函数
Capacities, Green function and Bergman functions
摘要：
利用对数容量，我们给出了格林函数的定量估计，以及$\mathbb C^n$中有界伪凸域的Bergman核的下界和有界平面域的Bergman距离.特别地，证明了Bergman核对任何具有$C^0-$边界的有界拟凸域都满足$K_Ω(z)\gtrsim δ_Ω(z)^{-2}$.给出了全纯运动的一个应用。
英文摘要：
Using the logarithmic capacity, we give quantitative estimates of the Green function, as well as lower bounds of the Bergman kernel for bounded pseudoconvex domains in $\mathbb C^n$ and the Bergman distance for bounded planar domains. In particular, it is shown that the Bergman kernel satisfies $K_Ω(z)\gtrsim δ_Ω(z)^{-2}$ for any bounded pseudoconvex domain with $C^0-$boundary. An application to holomorphic motions is given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
