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Extremal Sequences for the Bellman Function of the Dyadic Maximal Operator and Applications to the Hardy Operator

Published online by Cambridge University Press:  20 November 2018

Eleftherios Nikolaos Nikolidakis
Eleftherios Nikolaos Nikolidakis*
Affiliation:
Department of Mathematics, University of Ioannina, Ioannina, Greece e-mail: lefteris@math.uoc.gr
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Abstract

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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.

Keywords

42B25Bellman functiondyadicHardy operatormaximal
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 69 , Issue 6 , 01 December 2017 , pp. 1364 - 1384
Copyright
Copyright © Canadian Mathematical Society 2016

References

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