A Remarkable Rearrangement Of The Haar System in Lp

Proceedings of the American Mathematical Society

Volumn 125, Issue 8, 1997, Pages 2363-2371

  Muller, Paul F X ^a,c   Schechtman, Gideon ^b  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b YALE UNIVERSITY   (United States)

^c WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744451929     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-97-03860-4     Document Type: Article

References (6)

1. [B] D.L. Burkholder, Distribution function inequalities for martingales, Ann. Prob, l (1973), 19-43. MR 51:1944
2. [DS] L.E. Dor and T. Starbird, Projections of Lp onto subspaces spanned by independent random variables, Compositio Math. 39 (1979), 141-175. MR 82e:46043
3. [F] C.L. Fefferman, The uncertainty principle, Bull. AMS 9 (1983), 129-206. MR 85f:35001
4. [JMST] W.B. Johnson, B. Maurey, G. Schechtman, and L. Tzafriri, Symmetric structures in Banach spaces, Mem. AMS 217 (1979). MR 82j:46025
5. [M] P.F.X. Müller, A local version of a result of Gamlen-Gaudet, Israel J. Math. 63 (1988), 212-222. MR 89m:46016
6. [S] E.M. Semenov, On the equivalence in Lp of rearrangements of the Haar system, English translation in Soviet Math. Dokl. 19 (1978), 1292-1294.