Geodesic
On Rearrangements of the Haar System in $L_p$
Matematičeskie zametki, Tome 68 (2000) no. 6, pp. 870-873

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In this paper we study operators rearranging the Haar system in each bundle. It is proved that the norm of any nonidentical rearrangement admits a nontrivial lower bound in $L_p$ spaces, $p\ne2$. 
@article{MZM_2000_68_6_a7,
     author = {D. Z. Marshan},
     title = {On {Rearrangements} of the {Haar} {System} in $L_p$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {870--873},
     publisher = {mathdoc},
     volume = {68},
     number = {6},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2000_68_6_a7/}
}
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D. Z. Marshan. On Rearrangements of the Haar System in $L_p$. Matematičeskie zametki, Tome 68 (2000) no. 6, pp. 870-873. http://geodesic.mathdoc.fr/item/MZM_2000_68_6_a7/