Some results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin spaces

Details Some results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin spaces Some results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin spaces

2007-09-28

arxiv.org/abs/0709.4533v2

Mathematics

Classical Analysis and ODEs

Scientific paper

In this paper we define Besov-Lipschitz and Triebel-Lizorkin spaces in the context of Gaussian harmonic analysis, the harmonic analysis of Hermite polynomial expansions. We study inclusion relations among them, some interpolation results and continuity results of some important operators (the Ornstein-Uhlenbeck and the Poisson-Hermite semigroups and the Bessel potentials) on them. We also prove that the Gaussian Sobolev spaces $L^p_\alpha(\gamma_d)$ are contained in them. The proofs are general enough to allow extensions of these results to the case of Laguerre or Jacobi expansions and even further in the general framework of diffusions semigroups.

Affiliated with

Also associated with

No associations

Rating

Some results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin 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 Some results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some results on Gaussian Besov-Lipschitz spaces and Gaussian Triebel-Lizorkin spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-714759