演讲人: Professor Peter Sj?gren, University of Gothenburg

讲座时间: 2014年10月15日下午2:00-3:00

讲座地点: 信息楼0115

讲座内容:

摘要: Let $Delta_{v} = Delta + 2v cdot abla $ be the Laplacian with drift in $R^n$, where $v$ can be any nonzero vector. It is connected with the measure $dmu(x) = e^{2 langle v, x angle} dx$, since it has a self-adjoint extension in $L^2(mu)$. Clearly, $mu$ has exponential growth with respect to the Euclidean metric. Several operators now arise. We consider first the uncentred maximal operator associated with $mu$ and Euclidean balls. This operator turns out to be bounded on $L^p(mu),;1

报告人简介: Professor Peter Sjögren is the leader of the research group in Harmonic Analysis and Partial Differential Equations, and he works with partners in several countries. His research deals mostly with harmonic analysis in settings given by orthogonal polynomials and orthogonal expansions, often classical ones. The idea is to describe physical and other phenomena, described by partial differential equations, in situations where classical Fourier analysis is not adequate. His publication list contains about 80 research papers, some of his papers are published in the journals 《Ann. of Math.》, 《Amer. J. Math.》 and etc. In 1990 the Swedish Academy of Science awarded him one-half of Edlund’s prize. Between 1991 and 1993, he was president of the Swedish Mathematical Society. He has been secretary and vice-president of the Swedish National Committee for Mathematics. In Göteborg he has been deputy dean of the School of Mathematical and Computing Sciences. He has also served and is now serving on many local committees, at present the one against research misconduct and one dealing with numerous stipends to students. In 1990 and again in 2001, he was the main organiser of a conference in Göteborg, each gathering about 100 participants. He was the coordinator of a network "Harmonic Analysis" in the EU program TMR, running in 1998-2002 and involving nodes in seven countries. He is now an editor of the journal《Arkiv för matematik》.