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Off-diagonal estimates for the helical maximal function
- Publication Year :
- 2023
-
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.<br />Comment: 28 pages, 1 figure
- Subjects :
- Mathematics - Classical Analysis and ODEs
42B25, 42B20
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2305.17133
- Document Type :
- Working Paper