We consider a subordinate Brownian motion X with Gaussian components when the scaling order of purely discontinuous part is between 0 and 2 including 2. In this paper we establish sharp two-sided bounds for transition density of X in \({\mathbb {R}}^{d}\) and C^1,1-open sets. As a corollary, we obtain a sharp Green function estimates.

中文翻译：

---

关于C 1,1-开集中具有高斯分量的从属布朗运动的跃迁密度的估计。

我们考虑一个从属布朗运动X与高斯分量时纯粹的不连续部分的比例顺序是包括2在本文中在0和2，我们建立的过渡密度急剧双面边界X在\（{\ mathbb {R} } ^ {d} \）和C ^1,1-开集。作为推论，我们获得了清晰的格林函数估计。