Reverse-Holder classes in the Orlicz spaces setting
Harboure, E. ; Salinas, O. ; Viviani, B.
Studia Mathematica, Tome 129 (1998), p. 245-261 / Harvested from The Polish Digital Mathematics Library
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In connection with the Aϕ classes of weights (see [K-T] and [B-K]), we study, in the context of Orlicz spaces, the corresponding reverse-Hölder classes RHϕ. We prove that when ϕ is Δ2 and has lower index greater than one, the class RHϕ coincides with some reverse-Hölder class RHq,q>1. For more general ϕ we still get RHϕ⊂A∞=⋃q>1RHq although the intersection of all these RHϕ gives a proper subset of ⋂q>1RHq.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216556 
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     title = {Reverse-Holder classes in the Orlicz spaces setting},
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     volume = {129},
     year = {1998},
     pages = {245-261},
     zbl = {0905.42012},
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Harboure, E.; Salinas, O.; Viviani, B. Reverse-Holder classes in the Orlicz spaces setting. Studia Mathematica, Tome 129 (1998) pp. 245-261. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv130i3p245bwm/

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