Postorder rearrangement operators

Published 10 Oct 2014 in math.FA | (1410.2712v2)

Abstract: 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 operator norms on $\text{BMO}_N$ we prove that the postorder has maximal distance to the usual lexicographic order.

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Johanna Penteker

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