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A multi-parameter cinematic curvature
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A multi-parameter cinematic curvature
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We state a multi-parameter cinematic curvature condition, and prove $L^p$ bounds for related maximal operators. In particular, we verify a local smoothing conjecture of Zahl.
Forward citations
Cited by 2 Pith papers
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Bochner-Riesz means on the Heisenberg group
New L^p bounds for Bochner-Riesz means on H_n (1 ≤ p ≤ p_n, p_n → 2) via a p-sensitive spectral multiplier theorem obtained from square-function estimates for the Heisenberg wave operator.
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Problems on spherical maximal functions
A survey of conjectures and results on spherical maximal functions emphasizing problems with fractal dilation sets.
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