On maximal functions associated to hypersurfaces in R3 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 R3 is bounded on Lp. 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.