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Speaker:
Julia Brandes
Zugehörigkeit:
Chalmes University/MPIM
Datum:
Mit, 16/11/2022 - 14:30 - 15:30
Location:
MPIM Lecture Hall
Parent event:
Number theory lunch seminar Contact: Peter Moree (moree@mpim-bonn.mpg.de)
We revisit the square function estimates for extension operators over curves with torsion and prove results for planar curves of the form $(T,\Phi(T))$ where $\Phi(T)$ is a polynomial of
degree at least 2. This includes new results for degenerate, finite type curves endowed with the Euclidean arclength measure such as those given by monomials $\Phi(T)=T^k$ for $k >2.$ Our results are uniform over all local fields of characteristic 0.
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