$L^p$-$L^q$ off-diagonal estimates for the Ornstein--Uhlenbeck semigroup: some positive and negative results

Alex Amenta, Jonas Teuwen

We investigate $L^p(\gamma )$-$L^q(\gamma )$ off-diagonal estimates for the Ornstein-Uhlenbeck semigroup $(e^{tL}{)}_{t>0}$. For sufficiently large $t$ (quantified in terms of $p$ and $q$) the…