Maximal Hörmander Functional Calculus on Lp Spaces and UMD Lattices

Luc Deleaval, Christoph Kriegler

Let $A$ be a generator of an analytic semigroup having a H{ö}rmander functional calculus on $X=L^p(\Omega ,Y)$, where $Y$ is a UMD lattice. Using methods from Banach space geometry in…