### On maximal functions associated to hypersurfaces in R^{3} with height less than 2

Analysis and Geometry Seminar

7th November 2019, 3:15 pm – 4:15 pm

Fry Building, 2.04

I will present some recent progress in an ongoing project with S. Buschenhenke (Kiel), I. Ikromov (Samarkand) and D. Müller (Kiel) where we obtain the range of *p* for which the maximal operator associated to hypersurfaces in R^{3} is bounded on *L ^{p}*. We will see, with a particular family of examples, how, when the so-called height is less than 2, it is not what determines the

*p*range.

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