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, $p\ne2$. 
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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/

[1] Otyrba D. Z., “O perestanovkakh v prostranstvakh $L^p$”, Vestn. MGU. Ser. 1. Matem., mekh., 1994, no. 5, 67–69 | MR | Zbl

[2] Schipp F., “On equivalence of rearrangements of the Haar system in dyadic Hardy and BMO spaces”, Ann. of Math., 16:2 (1990), 135–141 | DOI | MR | Zbl

[3] Semenov E. M., Shtekert B., “Perestanovki sistemy Khaara v prostranstvakh $L^p$”, Analysis Mathematica, 7:4 (1981), 277–295 | DOI | MR