Fractional Gaussian estimates and holomorphy of semigroups

Valentin Keyantuo, Fabian Seoanes, Mahamadi Warma

Let $\Omega \subset {\mathbb{R}}^N$ be an arbitrary open set and denote by $(e^{-t(-Δ)_{\RR^N}^s})_{t\ge 0}$ (where $0<s<1$) the semigroup on $L^2(\RR^N)$ generated by the fractional Laplace operat…