【数学与统计及交叉学科前沿论坛------高端学术讲座第142场】

报告题目：Lp Norm of Truncated Riesz Transform and an Improved Dimension-free Lp Estimate for Maximal Riesz Transform

报告人：刘劲松 研究员

报告时间：12月5日（周四）16:00-17:00

报告地点: 阜成路校区综合楼1116会议室

报告摘要: In this talk we will show that the Lp norm of the maximal truncated Riesz transform in terms of the Lp norm of Riesz transform is dimension free for any 1<p<`∞, using maximal estimates for radial multipliers.

Moreover, we show that an estimate of Lp norm of R*jf.

As by products of our calculations, we infer the Lp norm contractivity of truncated Riesz transforms Rjt in terms of Rj and their accurate Lp norms.

This is a joint work with Petar Melentijevi and Jian-Feng Zhu.

报告人简介：刘劲松，中科院数学与系统科学研究院数学所研究员。刘劲松研究员的主要研究兴趣是泰西米勒空间、圆堆积等，2015年获得ISAAC青年科学家奖、2019年获国家杰出青年科学基金，曾获中科院优秀教师奖、中科院优秀导师奖等，其研究论文发表在Invent.Math.、Math. Ann.、Adv.Math.、 Math.Z.、 Trans. Amer. Math. Soc.、 Comment. Math. Hevl.、Sci. China. Math.等国际著名数学期刊。