A simple and consistent definition of homogeneous Besov spaces on stratified Lie groups

Details A simple and consistent definition of homogeneous Besov spaces on stratified Lie groups A simple and consistent definition of homogeneous Besov spaces on stratified Lie groups

2010-08-26

arxiv.org/abs/1008.4510v2

Mathematics

Functional Analysis

13 pages

Scientific paper

We introduce a general definition of homogeneous Besov spaces on a stratified Lie group $G$, based on a Littlewood-Paley-type decomposition of Schwartz functions with all moments vanishing. We show that under mild and intuitive conditions the spaces thus defined are independent of the decomposition employed. A corollary of this is that previously constructed versions of homogeneous Besov spaces on $G$, relying on the spectral calculus of a sub-Laplacian of the group, are consistent, i.e., independent of the choice of sub-Laplacian. We further prove characterizations of homogeneous Besov spaces using continuous wavelet transforms, with a large variety of analysing wavelets to choose from.

Affiliated with

Also associated with

No associations

Rating

A simple and consistent definition of homogeneous Besov spaces on stratified Lie groups 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 A simple and consistent definition of homogeneous Besov spaces on stratified Lie groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A simple and consistent definition of homogeneous Besov spaces on stratified Lie groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-704201