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arXiv · 2305.17133

Off-diagonal estimates for the helical maximal function

David Beltran·Jennifer Duncan·Jonathan Hickman
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Abstract

The optimal $L^p \to L^q$ mapping properties for the (local) helical maximal function are obtained, except for endpoints. The proof relies on tools from multilinear harmonic analysis and, in particular, a localised version of the Bennett--Carbery--Tao restriction theorem.

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David Beltran, Jennifer Duncan, Jonathan Hickman. 2023-05-26. Off-diagonal estimates for the helical maximal function. https://arxiv.org/abs/2305.17133

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