Single annulus $L^p$ estimates for Hilbert transforms along vector fields

Details Single annulus $L^p$ estimates for Hilbert transforms along vector fields Single annulus $L^p$ estimates for Hilbert transforms along vector fields

2011-09-29

arxiv.org/abs/1109.6395v1

Mathematics

Classical Analysis and ODEs

51 pages

Scientific paper

We prove $L^p$, $p\in (1,\infty)$ estimates on the Hilbert transform along a one variable vector field acting on functions with frequency support in an annulus. Estimates when $p>2$ were proved by Lacey and Li in \cite{LL1}. This paper also contains key technical ingredients for a companion paper \cite{BT} with Christoph Thiele in which $L^p$ estimates are established for the full Hilbert transform.

Affiliated with

Also associated with

No associations

Rating

Single annulus $L^p$ estimates for Hilbert transforms along vector fields 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 Single annulus $L^p$ estimates for Hilbert transforms along vector fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Single annulus $L^p$ estimates for Hilbert transforms along vector fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-151176