Geodesic
Eigenfunctions of the Hardy–Littlewood maximal operator
Leonardo Colzani1 ; Javier Pérez Lázaro2
1 Dipartimento di Matematica Università di Milano - Bicocca 20125 Milano, Italy
2 Departamento de Matemáticas y Computación Universidad de La Rioja 26004 Logroño, La Rioja, Spain
Colloquium Mathematicum, Tome 118 (2010) no. 2, pp. 379-389.

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

We prove that peak shaped eigenfunctions of the one-dimensional uncentered Hardy–Littlewood maximal operator are symmetric and homogeneous. This implies that the norms of the maximal operator on $L(p)$ spaces are not attained.
DOI : 10.4064/cm118-2-2
Keywords: prove peak shaped eigenfunctions one dimensional uncentered hardy littlewood maximal operator symmetric homogeneous implies norms maximal operator spaces attained

Leonardo Colzani 1 ; Javier Pérez Lázaro 2

1 Dipartimento di Matematica Università di Milano - Bicocca 20125 Milano, Italy
2 Departamento de Matemáticas y Computación Universidad de La Rioja 26004 Logroño, La Rioja, Spain 
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Leonardo Colzani; Javier Pérez Lázaro. Eigenfunctions of the Hardy–Littlewood
 maximal operator. Colloquium Mathematicum, Tome 118 (2010) no. 2, pp. 379-389. doi : 10.4064/cm118-2-2. http://geodesic.mathdoc.fr/articles/10.4064/cm118-2-2/

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