Absolutely summing operators and atomic decomposition in bi-parameter Hardy spaces

Paul F. X. Müller, Johanna Penteker

For $f\in H^p({\delta }^2)$, $0<p\le 2$, with Haar expansion $f=\sum f_{I\times J}{h}_{I\times J}$ we constructively determine the Pietsch measure of the $2$-summing multiplication operat…