Geodesic
On weak type inequalities for rare maximal functions in $\mathbb{R}^n$
A. M. Stokolos1
1 Department of Mathematical Sciences DePaul University Chicago, IL 60614, U.S.A.
Colloquium Mathematicum, Tome 104 (2006) no. 2, pp. 311-315 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The study of one-dimensional rare maximal functions was started in \cite{H,HS}. The main result in \cite{HS} was obtained with the help of some general procedure. The goal of the present article is to adapt the procedure (we call it “dyadic crystallization") to the multidimensional setting and to demonstrate that rare maximal functions have properties not better than the Strong Maximal Function.
DOI : 10.4064/cm104-2-7
Keywords: study one dimensional rare maximal functions started cite main result cite obtained help general procedure the present article adapt procedure call dyadic crystallization multidimensional setting demonstrate rare maximal functions have properties better strong maximal function

A. M. Stokolos 1

1 Department of Mathematical Sciences DePaul University Chicago, IL 60614, U.S.A. 
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A. M. Stokolos. On weak type inequalities for rare maximal functions in 
$\mathbb{R}^n$. Colloquium Mathematicum, Tome 104 (2006) no. 2, pp. 311-315. doi: 10.4064/cm104-2-7

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