Concerning Nikodym-type sets in 3-dimensional curved spaces

Details Concerning Nikodym-type sets in 3-dimensional curved spaces Concerning Nikodym-type sets in 3-dimensional curved spaces

1999-12-26

arxiv.org/abs/math/9912203v1

Journal American Mathematical Society 12 (1999), 1-31

Mathematics

Classical Analysis and ODEs

Scientific paper

We obtain estimates for maximal functions that arise when one studies
Nikodym-type sets. We also formulate a curvature condition that allows
favorable estimates for these maximal functions.

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