L^p boundedness of maximal averages over hypersurfaces in R^3
Classical Analysis and ODEs
2010-08-25 v1 Functional Analysis
Abstract
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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Cite
@article{arxiv.1008.3931,
title = {L^p boundedness of maximal averages over hypersurfaces in R^3},
author = {Michael Greenblatt},
journal= {arXiv preprint arXiv:1008.3931},
year = {2010}
}
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29 pages