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Off-diagonal estimates for the helical maximal function

Published 26 May 2023 in math.CA | (2305.17133v1)

Abstract: The optimal $Lp \to Lq$ 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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