Pointwise convergence of the ergodic bilinear Hilbert transform

Details Pointwise convergence of the ergodic bilinear Hilbert transform Pointwise convergence of the ergodic bilinear Hilbert transform

2006-01-12

arxiv.org/abs/math/0601277v1

Mathematics

Classical Analysis and ODEs

28 pages, no figures

Scientific paper

Let ${\bf X}=(X, \Sigma, m, \tau)$ be a dynamical system. We prove that the
bilinear series $\sideset{}{'}\sum_{n=-N}^{N}\frac{f(\tau^nx)g(\tau^{-n}x)}{n}$
converges almost everywhere for each $f,g\in L^{\infty}(X).$ We also give a
proof along the same lines of Bourgain's analog result for averages.

Affiliated with

Also associated with

No associations

Rating

Pointwise convergence of the ergodic bilinear 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 Pointwise convergence of the ergodic bilinear Hilbert transform, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pointwise convergence of the ergodic bilinear Hilbert transform will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-495148