Sharp estimates for imaginary powers of Bessel operators

The Anh Bui, Xuejing Huo, Ji Li

Let $Lf(x):=-\frac{d^2}{d{x}^2}f(x)-\frac{r}{x}\frac{d}{dx}f(x),x>0,r>0$ be the Bessel operator on $((0,\infty ),|\cdot |,x^{r}dx)$. In this paper, we prove the sharp weak typ…