arXiv Analytics

Sign in

arXiv:1305.2522 [math.FA]AbstractReferencesReviewsResources

Extremal sequences for a problem related to the Hardy operator

Eleftherios Nikolidakis

Published 2013-05-11, updated 2014-10-09Version 3

We prove a characterization of the extremal sequences of the extremal problem for the Hardy operator, related to the Bellman function of the dyadic maximal operator. In fact we prove that they behave approximately like eigenfunctions of the Hardy operator for a specific eigenvalue.

Comments: 15 pages
Categories: math.FA
Subjects: 42B25
Related articles: Most relevant | Search more
arXiv:1305.6208 [math.FA] (Published 2013-05-27, updated 2014-10-27)
Extremal sequences for the Bellman function of the dyadic maximal operator in relation with Kolmogorov's inequality
arXiv:1109.4785 [math.FA] (Published 2011-09-22, updated 2012-10-24)
The Geometry of the Dyadic Maximal Operator
arXiv:1301.2898 [math.FA] (Published 2013-01-14, updated 2015-04-14)
Extremal sequences for the Bellman function of the dyadic maximal operator

Links

Toolbox