抄録
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.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 635-637 |
| ページ数 | 3 |
| ジャーナル | Proceedings of the American Mathematical Society |
| 巻 | 125 |
| 号 | 3 |
| 出版ステータス | Published - 1997 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学