L^p boundedness of maximal averages over hypersurfaces in R^3

Details L^p boundedness of maximal averages over hypersurfaces in R^3 L^p boundedness of maximal averages over hypersurfaces in R^3

2010-08-23

arxiv.org/abs/1008.3931v1

Mathematics

Classical Analysis and ODEs

29 pages

Scientific paper

Extending the methods developed in the author's previous paper and using adapted coordinate systems in two variables, an L^p boundedness theorem is proven for maximal operators over hypersurfaces in R^3 when p > 2. When the best possible p is greater than 2, the theorem typically provides sharp estimates. This gives another approach to the subject of recent work of Ikromov, Kempe, and Muller on this subject

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