Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592637 | Journal of Functional Analysis | 2009 | 49 Pages |
Abstract
We study the classical Hardy–Littlewood majorant problem for trigonometric polynomials. We show that the constant in the majorant inequality grows at most like an arbitrary small power of the degree provided the spectrum is chosen at random. We also give an example of a deterministic set where the majorant property fails, i.e., the constant grows like a fixed small power in the degree.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory