Extremal Sequences for the Bellman Function of the Dyadic Maximal Operator and Applications to the Hardy Operator
Canadian journal of mathematics, Tome 69 (2017) no. 6, pp. 1364-1384
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We prove that the extremal sequences for the Bellman function of the dyadic maximal operator behave approximately as eigenfunctions of this operator for a specific eigenvalue. We use this result to prove the analogous one with respect to the Hardy operator.
Nikolidakis, Eleftherios Nikolaos. Extremal Sequences for the Bellman Function of the Dyadic Maximal Operator and Applications to the Hardy Operator. Canadian journal of mathematics, Tome 69 (2017) no. 6, pp. 1364-1384. doi: 10.4153/CJM-2016-025-0
@article{10_4153_CJM_2016_025_0,
author = {Nikolidakis, Eleftherios Nikolaos},
title = {Extremal {Sequences} for the {Bellman} {Function} of the {Dyadic} {Maximal} {Operator} and {Applications} to the {Hardy} {Operator}},
journal = {Canadian journal of mathematics},
pages = {1364--1384},
year = {2017},
volume = {69},
number = {6},
doi = {10.4153/CJM-2016-025-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-025-0/}
}
TY - JOUR AU - Nikolidakis, Eleftherios Nikolaos TI - Extremal Sequences for the Bellman Function of the Dyadic Maximal Operator and Applications to the Hardy Operator JO - Canadian journal of mathematics PY - 2017 SP - 1364 EP - 1384 VL - 69 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-025-0/ DO - 10.4153/CJM-2016-025-0 ID - 10_4153_CJM_2016_025_0 ER -
%0 Journal Article %A Nikolidakis, Eleftherios Nikolaos %T Extremal Sequences for the Bellman Function of the Dyadic Maximal Operator and Applications to the Hardy Operator %J Canadian journal of mathematics %D 2017 %P 1364-1384 %V 69 %N 6 %U http://geodesic.mathdoc.fr/articles/10.4153/CJM-2016-025-0/ %R 10.4153/CJM-2016-025-0 %F 10_4153_CJM_2016_025_0
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