Pointwise convergence for semigroups in vector-valued $L^p$ spaces

Details Pointwise convergence for semigroups in vector-valued $L^p$ spaces Pointwise convergence for semigroups in vector-valued $L^p$ spaces

2007-05-31

arxiv.org/abs/0705.4510v2

Mathematics

Functional Analysis

In version2 we correct the error present in version 1 as well as removing one of the hypotheses of the main theorem. Section 2

Scientific paper

Suppose that T_t is a symmetric diffusion semigroup on L^2(X) and consider its tensor product extension to the Bochner space L^p(X,B), where B belongs to a certain broad class of UMD spaces. We prove a vector-valued version of the Hopf--Dunford--Schwartz ergodic theorem and show that this extends to a maximal theorem for analytic continuations of the semigroup's extension to L^p(X,B). As an application, we show that such continuations exhibit pointwise convergence.

Affiliated with

Also associated with

No associations

Rating

Pointwise convergence for semigroups in vector-valued $L^p$ spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Pointwise convergence for semigroups in vector-valued $L^p$ spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pointwise convergence for semigroups in vector-valued $L^p$ spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-288502