Pointwise convergence for semigroups in vector-valued L p spaces

Abstract

Suppose that {Tt : t ≥ 0} is a symmetric diffusion semigroup on L 2(X) and denote by T̃t:t ≥ 0 its tensor product extension to the Bochner space Lp(X,B), where B belongs to a certain broad class of UMD spaces. We prove a vector-valued version of the Show more