Notes on Matrix Valued Paraproducts
| dc.creator | Mei, Tao | |
| dc.date | 2005-12-16 | |
| dc.date | 2006-01-18 | |
| dc.date.accessioned | 2026-07-07T06:55:26Z | |
| dc.date.available | 2026-07-07T06:55:26Z | |
| dc.description | Denote by $M_n$ the algebra of $n\times n$ matrices. We consider the dyadic paraproducts $π_b$ associated with $M_n$ valued functions $b$, and show that the $L^\infty (M_n)$ norm of $b$ does not dominate $||π_b||_{L^2(\ell _n^2)\to L^2(\ell_n^2)}$ 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<p<q<\infty $. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0512407 | |
| dc.identifier | http://arxiv.org/abs/math/0512407 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106279 | |
| dc.subject | Functional Analysis | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | 47B35 (46L50, 42B25 47B38) | |
| dc.title | Notes on Matrix Valued Paraproducts | |
| dc.type | text |