Riesz transforms and multipliers for the Grushin operator

Details Riesz transforms and multipliers for the Grushin operator Riesz transforms and multipliers for the Grushin operator

2011-10-14

arxiv.org/abs/1110.3227v1

Mathematics

Functional Analysis

14 pages

Scientific paper

We show that Riesz transforms associated to the Grushin operator G = -\Delta
- |x|^2\partial_t^2 are bounded on L^p(R^n+1). We also establish an analogue of
H\"ormander-Mihlin multiplier theorem and study Bochner-Riesz means associated
to the Grushin operator. The main tools used are Littlewood-Paley theory and an
operator valued Fourier multiplier theorem due to L. Weis.

Affiliated with

Also associated with

No associations

Rating

Riesz transforms and multipliers for the Grushin operator 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 Riesz transforms and multipliers for the Grushin operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Riesz transforms and multipliers for the Grushin operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-523366