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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- uniqueness for such a sequence.
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 -