We establish sharp two-sided bounds on the heat kernel of the fractional Laplacian, perturbed by a drift having critical-order singularity, by transferring it to appropriate weighted space with singular weight.

中文翻译：

---

通过去奇异化权重的具有哈代漂移的分数拉普拉斯算子的热核

我们在分数拉普拉斯算子的热核上建立了尖锐的两侧边界，受到具有临界阶奇异性的漂移的干扰，通过将其转移到具有奇异权重的适当加权空间。