We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Calderón–Zygmund Operators Associated to Matrix-Valued Kernels.
- Authors
Hong, Guixiang; López-Sánchez, Luis Daniel; Martell, José María; Parcet, Javier
- Abstract
Calderón–Zygmund operators with noncommuting kernels may fail to be Lp-bounded for p≠2, even for kernels with good size/smoothness properties. In this paper, we obtain weak-type estimates for perfect dyadic CZO’s and cancellative Haar shifts associated to noncommuting kernels in terms of a row/column decomposition of the function. General CZO’s satisfy analogous H1→L1 type estimates. In conjunction with type estimates, we get similar row/column Lp estimates. Our approach also applies to paraproducts/martingale transforms with noncommuting symbols.
- Subjects
CALDERON-Zygmund operator; MATRICES (Mathematics); KERNEL (Mathematics); HAAR system (Mathematics); MATHEMATICAL decomposition
- Publication
IMRN: International Mathematics Research Notices, 2014, Vol 2014, Issue 5, p1221
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rns250