Dept Banner
Dept Banner

Calendar

Download as iCal file

Complex Analysis and Geometry Seminar

"Rigidity theorems for invariant harmonic functions on bounded symmetric domains"

Song-Ying Li , UC Irvine

Location:  HILL 705
Date & time: Friday, 21 April 2017 at 10:30AM -

 

 

Time: 10:30 AM
Location: Hill 705
Abstract: Let \(Delta_g\) be the Laplace-Beltrami operator in Bergman metric in the unit ball in \(C^n\). Then the boundary value problem: \[ Delta_g u=0, hbox{ in } B_n; quad u=phi hbox{ on }d B_n \] has a unique solution \[ u(z)=P[phi]=int_{d B_n} {(1-|z|^2)^n over |1-langle z, wrangle|^{2n}} phi(w) dsigma(w) \] It well known that even if \(phiin C^infty(d B_n)\), \(P[phi]\) may not be in \(C^n(overline{B_n})\). A well known theorem of R. Graham says that if \(u\) is invariant harmonic in \(B_n\) and \(C^n(overline{B_n})\), then \(u\) must be pluriharmonic in \(B_n\).

In this talk, I will present a joint work with R-Y. Chen, we try to generalize Graham's theorem to the bounded symmetric domains.

 

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.

Contact Us

HillCenter small

Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530