Notes on Matrix Valued Paraproducts

Details Notes on Matrix Valued Paraproducts Notes on Matrix Valued Paraproducts

2005-12-16

arxiv.org/abs/math/0512407v2

Mathematics

Functional Analysis

12 pages

Scientific paper

Denote by $M_n$ the algebra of $n\times n$ matrices. We consider the dyadic paraproducts $\pi_b$ associated with $M_n$ valued functions $b$, and show that the $L^\infty (M_n)$ norm of $b$ does not dominate $||\pi_b||_{L^2(\ell _n^2)\to L^2(\ell_n^2)}$ uniformly over $n$. We also consider paraproducts associated with noncommutative martingales and prove that their boundedness on bounded noncommutative $L^p-$% martingale spaces implies their boundedness on bounded noncommutative $L^q-$% martingale spaces for all $1

Affiliated with

Also associated with

No associations

Rating

Notes on Matrix Valued Paraproducts 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 Notes on Matrix Valued Paraproducts, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Notes on Matrix Valued Paraproducts will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-298656