Square function characterization of Hardy-type spaces

Evgeny Abakumov, Evgueni Doubtsov, Dmitry Rutsky

The well-known characterization of Hardy spaces ${\mathrm{H}}_p(\mathbb{D})$, $0<p<\infty$, in terms of the Littlewood-Paley g-function $$ S f (ζ) = \left(\int_0^1 |f' (r ζ)|^…