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 |
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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