Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419499 | Journal of Mathematical Analysis and Applications | 2011 | 6 Pages |
Abstract
We study in this paper some relations between Hardy spaces HÏ1 which are defined by non-smooth approximate identity Ï(x), and the end-point Triebel-Lizorkin spaces FË10,q (1⩽q⩽â). First, we prove that H1(Rn)âHÏ1(Rn) for compact Ï which satisfies a slightly weaker condition than Fefferman and Stein's condition. Then we prove that non-trivial Hardy space HÏ1(R) defined by approximate identity Ï must contain Besov space BË10,1(R). Thirdly, we construct certain functions Ï(x)âB10,1â©Log012([â1,1]) and a function b(x)ââq>1FË10,q such that Daubechies wavelet function ÏâHÏ1 but bÏââL1.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Qi-Xiang Yang,