This is an announcement for the paper "p-summing multiplication operators, dyadic Hardy Spaces and atomic decomposition" by Paul F.X. Muller and Johanna Penteker.

Abstract: 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.

Archive classification: math.FA

Mathematics Subject Classification: 42B30 46B25 46B09 46B42 46E40 47B10 60G42

Remarks: 24 pages

Submitted from: johanna.penteker@jku.at

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1310.4312

or

http://arXiv.org/abs/1310.4312