Atomic Decomposition and Boundedness of Operators on Weighted Hardy Spaces

Canadian mathematical bulletin

Ming-Yi Lee¹  Yongsheng Han²  Chin-Cheng Lin¹ 

[1] Department of Mathematics, National Central University, Chung-Li, Taiwan 320, Republic of China;Department of Mathematics, Auburn University, Auburn, AL 36849-5310, U.S.A.

关键词: $A_p$ weights;    atomic decomposition;    Calderón reproducing formula;    weighted Hardy spaces;   

DOI  :  10.4153/CMB-2011-072-7

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this article, we establish a new atomic decomposition for $fin L^2_wcap H^p_w$, where the decomposition converges in $L^2_w$-norm rather than in the distribution sense. As applications of this decomposition, assuming that $T$ is a linear operator bounded on $L^2_w$ and $0

【 授权许可】

Unknown