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

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dc.creatorMinicozzi II, William
dc.creatorSogge, Christopher D.
dc.date1999-12-26
dc.date.accessioned2026-07-07T05:32:28Z
dc.date.available2026-07-07T05:32:28Z
dc.descriptionWe 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 role that the non-existence of totally geodesic submanifolds can play in these problems.
dc.identifierhttps://arxiv.org/abs/math/9912202
dc.identifierhttp://arxiv.org/abs/math/9912202
dc.identifierMathematics Research Letters 4 (1997), 221-237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79670
dc.subjectClassical Analysis and ODEs
dc.subject42
dc.titleNegative results for Nikodym maximal functions and related oscillatory integrals in curved space
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