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19992005
most citedThe space of embedded minimal surfaces of fixed genus in a 3-manifold II; Multi-valued graphs in disks

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math.CA1999

Negative results for Nikodym maximal functions and related oscillatory integrals in curved space

William Minicozzi, Christopher D. Sogge

We expand on counterxamples of Bourgain showing how Nikodym maximal estimates and oscillatory integral estimates can break down in the non-Euclidean case. Our examples show the rol…