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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.

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