Some new estimates for generalized fractional integrals associated with operators on Morrey spaces

Hua Wang

Let $\mathcal{L}$ be the infinitesimal generator of an analytic semigroup $\{e^{-t\mathcal{L}}:t>0\}$ on $L^2({\mathbb{R}}^n)$ with Gaussian upper bounds, and suppose that $\ma…