Weighted inequalities for multivariable dyadic paraproducs

Details Weighted inequalities for multivariable dyadic paraproducs Weighted inequalities for multivariable dyadic paraproducs

2010-01-09

arxiv.org/abs/1001.1461v2

Mathematics

Functional Analysis

23 pages

Scientific paper

Using Wilson's Haar basis in $\R^n$, which is different than the usual tensor product Haar functions, we define its associated dyadic paraproduct in $\R^n$. We can then extend "trivially" Beznosova's Bellman function proof of the linear bound in $L^2(w)$ with respect to $[w]_{A_2}$ for the 1-dimensional dyadic paraproduct. Here trivial means that each piece of the argument that had a Bellman function proof has an $n$-dimensional counterpart that holds with the same Bellman function. The lemma that allows for this painless extension we call the good Bellman function Lemma. Furthermore the argument allows to obtain dimensionless bounds in the anisotropic case.

Affiliated with

Also associated with

No associations

Rating

Weighted inequalities for multivariable dyadic paraproducs 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 Weighted inequalities for multivariable dyadic paraproducs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weighted inequalities for multivariable dyadic paraproducs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-128103