BOUNDEDNESS OF OPERATORS ON HARDY SPACES
BOUNDEDNESS OF OPERATORS ON HARDY SPACES
In [1], the author provided an example which shows that there is a linear functional bounded uniformly on all atoms in $H^1(\mathbb{R}^n)$, and it can not be extended to a bounded functional on $H^1(\mathbb{R}^n)$. In this note, we first give a new atomic decomposition, where the decomposition converges in $L^2(\mathbb{R}^n)$ …