On the Hardy-Littlewood majorant problem
Consider a trigonometric polynomial f of degree N, and associate to it the polynomial F in which each coefficient of f is replaced by its absolute value. F is called the majorant of f. We show that the L^3 norm of f can be larger than that of F by a power of N. Similar examples could be constructed...
| Main Authors: | , |
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| Format: | Journal article |
| Published: |
2003
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