中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：Nguyen Cong Phuc（Louisiana State University）

题  目： CAPACITARY STRONG TYPE INEQUALITIES AND RELATED FUNCTION SPACES

时  间：2024.06.17（星期一）15：00-16:00

地  点：S615

摘 要：We answer question posed by D. R. Adams on a capacitary strong type inequality that generalizes the classical capacitary strong type inequality of V. G. Maz'ya. As a result, we characterize related function spaces as Kothe duals to a class of Sobolev multiplier type spaces. The boundedness of the Hardy-Littlewood maximal function and the spherical maximal function on related Choquet spaces are also discussed. This talk is based on joint work with Keng H. Ooi.