Abstract
The concept of boundary values of holomorphic semigroups is used to give a new proof of a result due to Hörmander, saying that the operator iΔ generates a C0-semigroup on LP(ℝN) if and only if p = 2. Using a recent result on Laplace transforms by Prüss one obtains by this theory also a new proof of the classical characterization theorem of holomorphic semigroups.
| Original language | English |
|---|---|
| Pages (from-to) | 635-637 |
| Number of pages | 3 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 125 |
| Issue number | 3 |
| Publication status | Published - 1997 |
| Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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Cite this
Arendt, W., El Mennaoui, O., & Hieber, M. G. (1997). Boundary values of holomorphic semigroups. Proceedings of the American Mathematical Society, 125(3), 635-637.