Boundary values of holomorphic semigroups

Wolfgang Arendt; Omar El Mennaoui; Matthias Georg Hieber

Boundary values of holomorphic semigroups

Wolfgang Arendt, Omar El Mennaoui, Matthias Georg Hieber

研究成果: Article › 査読

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 L^P(ℝ^N) 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

Mathematics(all)
Applied Mathematics

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引用スタイル

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