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Properties of extremal sequences for the Bellman function of the dyadic maximal operator

Eleftherios N. Nikolidakis

Colloquium Mathematicae (2013)

  • Volume: 133, Issue: 2, page 273-282
  • ISSN: 0010-1354

Abstract

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We prove a necessary condition that has every extremal sequence for the Bellman function of the dyadic maximal operator. This implies the weak- L p uniqueness for such a sequence.

How to cite

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Eleftherios N. Nikolidakis. "Properties of extremal sequences for the Bellman function of the dyadic maximal operator." Colloquium Mathematicae 133.2 (2013): 273-282. <http://eudml.org/doc/284123>.

@article{EleftheriosN2013,
abstract = {We prove a necessary condition that has every extremal sequence for the Bellman function of the dyadic maximal operator. This implies the weak-$L^\{p\}$ uniqueness for such a sequence.},
author = {Eleftherios N. Nikolidakis},
journal = {Colloquium Mathematicae},
keywords = {Bellman function; dyadic maximal operator; extremal sequence},
language = {eng},
number = {2},
pages = {273-282},
title = {Properties of extremal sequences for the Bellman function of the dyadic maximal operator},
url = {http://eudml.org/doc/284123},
volume = {133},
year = {2013},
}

TY - JOUR
AU - Eleftherios N. Nikolidakis
TI - Properties of extremal sequences for the Bellman function of the dyadic maximal operator
JO - Colloquium Mathematicae
PY - 2013
VL - 133
IS - 2
SP - 273
EP - 282
AB - We prove a necessary condition that has every extremal sequence for the Bellman function of the dyadic maximal operator. This implies the weak-$L^{p}$ uniqueness for such a sequence.
LA - eng
KW - Bellman function; dyadic maximal operator; extremal sequence
UR - http://eudml.org/doc/284123
ER -

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