BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Loredana Lanzani (Syracuse)
DTSTART:20200428T200000Z
DTEND:20200428T210000Z
DTSTAMP:20260423T024447Z
UID:mitpde/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/mitpde/2/">O
 n the symmetrization of Cauchy-like kernels</a>\nby Loredana Lanzani (Syra
 cuse) as part of MIT PDE/analysis seminar spring 2020\n\nLecture held in 2
 -135.\n\nAbstract\nIn this talk I will present new symmetrization identiti
 es for a family of Cauchy-like kernels in complex dimension one.\n\nSymmet
 rization identities of this kind were first employed in geometric measure 
 theory by\nP. Mattila\, M. Melnikov\, X. Tolsa\, J. Verdera et al.\, to ob
 tain a new proof of $L^2(\\mu)$ regularity of the Cauchy transform (with 
 µ a positive Radon measure in C)\, which ultimately led to the a partial 
 resolution of a long-standing open problem known as Vitushkins conjecture.
 \n\nHere we extend this analysis to a class of integration kernels that ar
 e more closely related\nto the holomorphic reproducing kernels that arise 
 in complex function theory.\nThis is joint work with Malabika Pramanik (U.
  British Columbia).\n
LOCATION:https://researchseminars.org/talk/mitpde/2/
END:VEVENT
END:VCALENDAR