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SUMMARY:Guozhen Lu (University of Connecticut)
DTSTART:20220920T160000Z
DTEND:20220920T170000Z
DTSTAMP:20260423T021031Z
UID:OSGA/118
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSGA/118/">H
 elgason-Fourier analysis techniques in sharp geometric inequalities on hyp
 erbolic spaces</a>\nby Guozhen Lu (University of Connecticut) as part of O
 nline Seminar "Geometric Analysis"\n\n\nAbstract\nIn recent years\, we hav
 e developed a new approach to establish sharp geometric and functional ine
 qualities using the Helgason-Fourier analysis techniques on symmetric spac
 es. Such inequalities include sharp higher order Hardy-Sobolev-Maz'ya and 
 Hardy-Adams inequalities on hyperbolic spaces on all Riemannian symmetric 
 spaces of noncompact type of rank one. Precise expressions of Green's func
 tions of GJMS operators on real hyperbolic spaces in terms of hypergeometr
 ic functions are established as well.This is based on a series of joint wo
 rks with Joshua Flynn\, Jungang Li\, and Qiaohua Yang.\n
LOCATION:https://researchseminars.org/talk/OSGA/118/
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