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SUMMARY:The limiting case of the fractional Caffarelli-Kohn-Nirenberg ineq
 uality in dimension one - Mariel Saez (Pontificia Universidad Católica de
  Chile)
DTSTART:20260223T143000Z
DTEND:20260223T153000Z
UID:TALK242455@talks.cam.ac.uk
DESCRIPTION:In this talk I will explore the limiting case $\\gamma\\to(1/2
 )^-$ in dimension one for the fractional Caffarelli-Kohn-Nirenberg inequal
 ity\, obtaining Onofri's inequality in the unit disk as a limit. An import
 ant aspect is the study of solutions of the weighted Liouville equation fo
 r the half-Laplacian in dimension one.\n&nbsp\;\nThis is joint work with M
 aria del Mar Gonzalez and Ali Hyder.
LOCATION:Seminar Room 2\, Newton Institute
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