## A New Proof of the Atomic Decomposition of Hardy Spaces

**A 2014 Preprint by
S. Dekel,
G. Kerkyacharian,
G. Kyriazis, and
P. Petrushev
**

- 2014:04
A new proof is given of the atomic decomposition of Hardy spaces $H^p$, $0<p\le 1$, in the classical setting on $\mathbb{R}^n$. The new method can be used to establish atomic decomposition of maximal Hardy spaces in general and nonclassical settings.