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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Hardy-type inequalities for fractional powers of t
 he Dunkl--Hermite operator - Luz Roncal (BCAM - Ba
 sque Center for Applied Mathematics)
DTSTART;TZID=Europe/London:20190408T150000
DTEND;TZID=Europe/London:20190408T160000
UID:TALK122758AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/122758
DESCRIPTION:<span>We prove Hardy-type inequalities for the con
 formally invariant fractional powers of the Dunkl-
 -Hermite operator. Consequently\, we also obtain H
 ardy inequalities for the fractional harmonic osci
 llator as well. <br> The strategy is as follows: f
 irst\, by introducing suitable polar coordinates\,
  we reduce the problem to the Laguerre setting. Th
 en\, we push forward an argument developed by R. L
 . Frank\, E. H. Lieb and R. Seiringer\, initially 
 developed in the Euclidean setting\, to get a Hard
 y inequality for the fractional-type Laguerre oper
 ator. Such argument is based on two facts: first\,
  to get an integral representation for the corresp
 onding fractional operator\, and second\, to write
  a proper ground state representation.<br> This is
  joint work with \\&#39\;O. Ciaurri (Universidad d
 e La Rioja\, Spain) and S. Thangavelu (Indian Inst
 itute of Science of Bangalore\, India).</span>
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:INI IT
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