Continuous rearrangements of the Haar system in Hp for 0 < p < ∞
Krzysztof Smela
Studia Mathematica, Tome 187 (2008), p. 189-199 / Harvested from The Polish Digital Mathematics Library
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We prove three theorems on linear operators Tτ,p:Hp(ℬ)→Hp induced by rearrangement of a subsequence of a Haar system. We find a sufficient and necessary condition for Tτ,p to be continuous for 0 < p < ∞.

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:285061 
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     journal = {Studia Mathematica},
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     year = {2008},
     pages = {189-199},
     zbl = {1169.42013},
     language = {en},
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Krzysztof Smela. Continuous rearrangements of the Haar system in $H_{p}$ for 0 < p < ∞. Studia Mathematica, Tome 187 (2008) pp. 189-199. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm189-2-6/