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.
| 元の言語 | 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 |
| 発行部数 | 3 |
| 出版物ステータス | Published - 1997 |
| 外部発表 | Yes |
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ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
これを引用
Boundary values of holomorphic semigroups. / Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias Georg.
：: Proceedings of the American Mathematical Society, 巻 125, 番号 3, 1997, p. 635-637.研究成果: Article
}
TY - JOUR
T1 - Boundary values of holomorphic semigroups
AU - Arendt, Wolfgang
AU - El Mennaoui, Omar
AU - Hieber, Matthias Georg
PY - 1997
Y1 - 1997
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=21744440523&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=21744440523&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:21744440523
VL - 125
SP - 635
EP - 637
JO - Proceedings of the American Mathematical Society
JF - Proceedings of the American Mathematical Society
SN - 0002-9939
IS - 3
ER -