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Date | Oct 25, 2023 |
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Speaker | Zhendong Xu |

Dept. | Université de Franche-Comte |

Room | 129-301 |

Time | 17:00-18:30 |

We solve a question asked by Q. Xu about the order of optimal constants in the vector-valued Littlewood-Paley-Stein inequality. The key point is to establish the L^p-norm equivalence between Lusin area integral and Littlewood-Paley g-function. To this end, we introduce the vector-valued Hardy and BMO spaces associated with certain sectorial operators. The argument relies on the molecular decomposition of the vector-valued Hardy space in addition to Mei's duality technique and Wilson's intrinsic square functions developed in this setting."

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