Idempotent multipliers for \(L^p(\mathbb{R})\) (Q1973463)
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scientific article; zbMATH DE number 1437118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Idempotent multipliers for \(L^p(\mathbb{R})\) |
scientific article; zbMATH DE number 1437118 |
Statements
Idempotent multipliers for \(L^p(\mathbb{R})\) (English)
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7 May 2001
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The authors study idempotent \(L^p\) Fourier multipliers, i.e., Fourier multipliers bounded on \(L^p\) whose symbol is a characteristic function. They show that the class of such functions is strictly decreasing in \(p\) for \(2 < p < \infty\), using methods similar to those of Bourgain in resolving the analogous problem for \(\Lambda_p\) sets.
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\(L^p\) Fourier multipliers
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\(\Lambda_p\) sets
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