科研主页

个人简介

Panu Lahti's research page


Contact information

Email: panulahti@amss.ac.cn


Affiliation

    I am an associate professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences. I did my doctoral studies at Aalto University.


Research interests

  • Analysis on metric measure spaces

  • Functions of bounded variation (BV functions)

  • Fine potential theory for p=1

  • Maximal functions

    I am interested in characterization and approximation results for functions of bounded variation (BV functions) and in fine potential theory in the case p=1. Many of these results seem to be new even in Euclidean spaces, but it is natural to study them in the more general setting of a metric space equipped with a doubling measure and supporting a Poincaré inequality. I am also interested in quasiconformal mappings in metric spaces, as well as the so-called W1,1-problem for the (non-centered) maximal function.

Publications

Preprints

2021

2020

2019

2018

2017

2016

2015

2014


Theses

研究方向

Partial differential equation

Geometric measure theory

联系方式

55 Zhongguancun East Road, Haidian District, Beijing, P.R. China

100190

panulahti@amss.ac.cn