Absolutely Summing Multipliers on Abstract Hardy Spaces

We study summing multipliers from Banach spaces of analytic functions on the unit disc ofthe complex plane to the complex Banach sequence lattices. The domain spaces are abstract variantsof the classical Hardy spaces generated by the complex symmetric spaces. Applying interpolationmethods, we prove the Hausdorff-Young and Hardy-Littlewood type theorems. We show applicationsof these results to study summing multipliers from the Hardy-Orlicz spaces to the Orlicz sequencelattices. The obtained results extend the well-known results for the Hpspaces.