A note on the strong maximal operator on ℝⁿ
Jiecheng Chen ; Xiangrong Zhu
Studia Mathematica, Tome 162 (2004), p. 291-294 / Harvested from The Polish Digital Mathematics Library
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We prove that for f ∈ L ln⁺L(ℝⁿ) with compact support, there is a g ∈ L ln⁺L(ℝⁿ) such that (a) g and f are equidistributed, (b) MS(g)∈L¹(E) for any measurable set E of finite measure.

Publié le : 2004-01-01
EUDML-ID : urn:eudml:doc:284634 
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     title = {A note on the strong maximal operator on Rn},
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Jiecheng Chen; Xiangrong Zhu. A note on the strong maximal operator on ℝⁿ. Studia Mathematica, Tome 162 (2004) pp. 291-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm165-3-6/