Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418445 | Journal of Mathematical Analysis and Applications | 2014 | 11 Pages |
Abstract
In this note we explain a point left open in the literature of Hardy spaces, namely that for a sufficiently smooth m-linear Calderón-Zygmund operator bounded on a product of Lebesgue spaces we haveT(f1,â¦,fm)=âi1â¯âimλ1,i1â¯Î»m,imT(a1,i1,â¦,am,im)a.e., where aj,ij are Hpj atoms, λj,ijâC, and fj=âijλj,ijaj,ij are Hpj distributions. In some particular cases the proof is new even when m=1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Loukas Grafakos, Danqing He,