Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform

Details Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform

2007-12-15

arxiv.org/abs/0712.2494v1

Mathematics

Classical Analysis and ODEs

12 pages, 0 figures

Scientific paper

We consider multilinear averages in ergodic theory and harmonic analysis and
prove their divergence in some range of $L^p$ spaces, with $p$ close enough to
1. We also prove that the trilinear Hilbert transform is unbounded in a similar
range of $L^p$ spaces.

Affiliated with

Also associated with

No associations

Rating

Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform 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 Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-351986