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On the non-equivalence of rearranged Walsh and trigonometric systems in Lp
2003
Studia Mathematica
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We consider the question whether the trigonometric system can be equivalent to some rearrangement of the Walsh system in L p for some p = 2. We show that this question is closely related to a combinatorial problem. This enables us to prove non-equivalence for a number of rearrangements. Previously this was known for the Walsh-Paley order only. * The authors were supported by DFG grants Hi 584/2-2 and We 1868/1-1, resp. Both authors thank the University of Pretoria where part of this work was
doi:10.4064/sm159-3-7
fatcat:e7ujfu5w6vfffdffstuhnpdkr4