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- W2949824022 abstract "The Hardy-Littlewood majorant problem asks whether L^p norms of functions on the circle grow if one replaces their Fourier coefficients with their absolute values. This is clear if p is an even integer, but false if p is any other number. One can still ask if the norm grows at most by the degree raised to a small power for any p. We show that this is so with any epsilon power provided the majorizing function is the Dirichlet kernel on a random set, with large probability." @default.
- W2949824022 created "2019-06-27" @default.
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- W2949824022 date "2002-07-25" @default.
- W2949824022 modified "2023-09-23" @default.
- W2949824022 title "On the Hardy-Littlewood majorant problem for random sets" @default.
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