Johanna Penteker

activity

20132015

most citedp-Summing Multiplication Operators, dyadic Hardy Spaces and atomic Decomposition

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.FA2015

Absolutely summing operators and atomic decomposition in bi-parameter Hardy spaces

Paul F. X. Müller, Johanna Penteker

For $f \in H^{p} (δ^{2})$ , $0 < p \leq 2$ , with Haar expansion $f = \sum f_{I \times J} h_{I \times J}$ we constructively determine the Pietsch measure of the $2$ -summing multiplication operat…

math.FA2014

Postorder rearrangement operators

Johanna Penteker

We investigate the rearrangement of the Haar system induced by the postorder on the set of dyadic intervals in $[0, 1]$ with length greater than or equal to $2^{- N}$ . By means of op…

math.FA2013★ 4 cited

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…