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SUMMARY:Bernstein inequalities for eigenfunctions - Stefano Decio (ETH Zü
 rich)
DTSTART:20260112T114500Z
DTEND:20260112T124500Z
UID:TALK238150@talks.cam.ac.uk
DESCRIPTION:Bernstein inequalities are classical estimates for polynomials
  that bound the supremum of the gradient of a polynomial by the degree tim
 es the supremum of the polynomial. It was proposed by Donnelly and Fefferm
 an to study these inequalities for Laplace eigenfunctions\, the degree bei
 ng replaced by the square root of the eigenfunction. An inequality with a 
 dimensional power of the eigenvalue was obtained by Donnelly and Fefferman
 . With Eugenia Malinnikova we were able to prove a dimension-free Bernstei
 n inequality\; I will describe our work. Time permitting\, I will also dis
 cuss joint work with Eugenia Malinnikova and Fedor Nazarov\, still in prog
 ress\, that allows us to obtain a sharp Bernstein inequality.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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