Geodesic
A note on the strong maximal operator on ${\Bbb R}^n$
Jiecheng Chen1 ; Xiangrong Zhu1
1 Department of Mathematics (Xixi Campus) Zhejiang University 310028 Hangzhou, P.R. China
Studia Mathematica, Tome 165 (2004) no. 3, pp. 291-294

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that for $f\in L\mathop {\rm ln}\nolimits ^{+}L({\mathbb R}^n)$ with compact support, there is a $g\in L\mathop {\rm ln}\nolimits ^{+}L({\mathbb R}^n)$ such that (a) $g$ and $f$ are equidistributed, (b) $M_S(g)\in L^1(E)$ for any measurable set $E$ of finite measure.
DOI : 10.4064/sm165-3-6
Keywords: prove mathop nolimits mathbb compact support there mathop nolimits mathbb equidistributed measurable set finite measure

Jiecheng Chen 1 ; Xiangrong Zhu 1

1 Department of Mathematics (Xixi Campus) Zhejiang University 310028 Hangzhou, P.R. China 
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Jiecheng Chen; Xiangrong Zhu. A note on the strong maximal operator on ${\Bbb R}^n$. Studia Mathematica, Tome 165 (2004) no. 3, pp. 291-294. doi: 10.4064/sm165-3-6

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