Eigenfunctions of the Hardy-Littlewood maximal operator
Leonardo Colzani ; Javier Pérez Lázaro
Colloquium Mathematicae, Tome 120 (2010), p. 379-389 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:283480 
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     title = {Eigenfunctions of the Hardy-Littlewood maximal operator},
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     volume = {120},
     year = {2010},
     pages = {379-389},
     zbl = {1196.42017},
     language = {en},
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Leonardo Colzani; Javier Pérez Lázaro. Eigenfunctions of the Hardy-Littlewood maximal operator. Colloquium Mathematicae, Tome 120 (2010) pp. 379-389. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-2-2/