\(L^ p\) contractive projections and the heat semigroup for differential forms (Q1072198)
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scientific article; zbMATH DE number 3942569
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^ p\) contractive projections and the heat semigroup for differential forms |
scientific article; zbMATH DE number 3942569 |
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\(L^ p\) contractive projections and the heat semigroup for differential forms (English)
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1986
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A projection operator that is contractive on \(L^ p\) for two distinct values of p is shown to be contractive for all values of p, and the range must be of a special form. This result is used to show that the heat semigroup for k-forms on many manifolds with nontrivial cohomology in dimension k cannot be contractive on any \(L^ p\) for \(p\neq 2\).
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projection operator
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heat semigroup for k-forms
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