Products and commutators of martingales in H_1 and BMO

發布者:王丹丹發布時間:2023-11-06浏覽次數:10

江蘇省應用數學(中國礦業大學)中心系列學術報告

報告題目:Products and commutators of martingales in H_1 and BMO

報告人:謝廣亨副教授

報告時間:2023/11/09 (周四) 16:00-17:00

報告地點:騰訊會議907576000

報告摘要:In this talk, I will review some recent results on bilinear decomposition in martingale setting. As an application, we establish the endpoint estimates of martingale commutators. This allow us to give more applications. On the one hand, in the martingale setting, we obtain the endpoint estimates of commutators for both martingale transforms and  martingale fractional integrals. On the other hand, in harmonic analysis, we establish the endpoint estimates of commutators both for the dyadic Hilbert transform beyond doubling measures and for the maximal operator of Ces\`{a}ro means of Walsh--Fourier series.

報告人簡介:謝廣亨,中南大學數學與統計學院副教授,碩士生導師,2019年博士畢業于北京師範大學。謝廣亨主要從事鞅空間理論、函數空間理論和非交換分析等方面的研究,已在J. Math. Pures Appl.Int. Math. Res. Not.J. Funct. Anal.Math. Z.等國際主流數學期刊上發表或接受發表20篇論文。主持國家自然科學基金、中國博士後基金和湖南省自然科學基金共3項,獲2021年湖南省自然科學一等獎(排名4/4)


Baidu
sogou