Hörmander functional calculus on UMD lattice valued $L^p$ spaces under generalised Gaussian estimates

Luc Deleaval, Mikko Kemppainen, Christoph Kriegler

We consider self-adjoint semigroups $T_t=\exp (-tA)$ acting on $L^2(\Omega )$ and satisfying (generalised) Gaussian estimates, where $\Omega$ is a metric measure space of homogeneous type of…