Parabolic BMO estimates for pseudo-differential operators of arbitrary order

Ildoo Kim, Kyeong-Hun Kim, Sungbin Lim

In this article we prove the BMO-$L_{\infty }$ estimate $$ \|(-Δ)^{γ/2} u\|_{BMO(\mathbf{R}^{d+1})}\leq N \|\frac{\partial}{\partial t}u-A(t)u\|_{L_{\infty}(\mathbf{R}^{d+1})}, \qua…