p-Summing Multiplication Operators, dyadic Hardy Spaces and atomic Decomposition

Paul F. X. Müller, Johanna Penteker

We constructively determine the Pietsch measure of the 2-summing multiplication operator \[\mathcal{M}_u:\ell^{\infty} \rightarrow H^p, \quad (φ_I) \mapsto \sum φ_Ix_Ih_I. \] Our c…