Paul F. X. Müller, Johanna Penteker
Published 2013-10-16, updated 2014-09-24Version 4
We constructively determine the Pietsch measure of the 2-summing multiplication operator \[\mathcal{M}_u:\ell^{\infty} \rightarrow H^p, \quad (\varphi_I) \mapsto \sum \varphi_Ix_Ih_I. \] Our construction of the Pietsch measure for the multiplication operator $\mathcal{M}_u$ involves the Haar coefficients of $u$ and its atomic decomposition.
Absolutely summing operators and atomic decomposition in bi-parameter Hardy spaces
Atomic decompositions for Hardy spaces related to Schrödinger operators
On Pietsch measures for summing operators and dominated polynomials
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