A maximal $L_p$-regularity theory to initial value problems with time measurable nonlocal operators generated by additive processes

Jae-Hwan Choi, Ildoo Kim

Let $Z=(Z_t{)}_{t\ge 0}$ be an additive process with a bounded triplet $(0,0,{\Lambda }_t{)}_{t\ge 0}$. Suppose that for any Schwartz function $\phi$ on ${\mathbb{R}}^d$ whose Fourier transform is i…