Eigenfunctions of the Hardy-Littlewood maximal operator

Leonardo Colzani, and Javier Pérez Lázaro. "Eigenfunctions of the Hardy-Littlewood maximal operator." Colloquium Mathematicae 118.2 (2010): 379-389. <http://eudml.org/doc/283480>.

@article{LeonardoColzani2010,
abstract = {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.},
author = {Leonardo Colzani, Javier Pérez Lázaro},
journal = {Colloquium Mathematicae},
keywords = {Hardy-Littlewood maximal operator; eigenvalues; norms},
language = {eng},
number = {2},
pages = {379-389},
title = {Eigenfunctions of the Hardy-Littlewood maximal operator},
url = {http://eudml.org/doc/283480},
volume = {118},
year = {2010},
}

TY - JOUR
AU - Leonardo Colzani
AU - Javier Pérez Lázaro
TI - Eigenfunctions of the Hardy-Littlewood maximal operator
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 2
SP - 379
EP - 389
AB - 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.
LA - eng
KW - Hardy-Littlewood maximal operator; eigenvalues; norms
UR - http://eudml.org/doc/283480
ER -