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arXiv · 1310.4312

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

Paul F. X. Müller·Johanna Penteker
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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.

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Paul F. X. Müller, Johanna Penteker. 2013-10-16. p-Summing Multiplication Operators, dyadic Hardy Spaces and atomic Decomposition. https://arxiv.org/abs/1310.4312

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