Abstract of a paper by Paul F.X. Muller and Johanna Penteker
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
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