Spaces H^1 and BMO on ax+b-groups

Details Spaces H^1 and BMO on ax+b-groups Spaces H^1 and BMO on ax+b-groups

2008-04-29

arxiv.org/abs/0804.4615v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Let S be the semidirect product of R^d and R^+ endowed with the Riemannian symmetric space metric and the right Haar measure: this is a Lie group of exponential growth. In this paper we define an Hardy space H^1 and a BMO space in this context. We prove that the functions in BMO satisfy the John-Nirenberg inequality and that BMO may be identified with the dual space of H^1. We then prove that singular integral operators which satisfy a suitable integral Hormander condition are bounded from H^1 to L^1 and from L^{\infty} to BMO. We also study the real interpolation between H^1, BMO and the L^p spaces.

Affiliated with

Also associated with

No associations

Rating

Spaces H^1 and BMO on ax+b-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 Spaces H^1 and BMO on ax+b-groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spaces H^1 and BMO on ax+b-groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-209923