Boundary values of holomorphic semigroups

Wolfgang Arendt, Omar El Mennaoui, Matthias Georg Hieber

Research output: Contribution to journal › Article

15 Citations (Scopus)

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 languageEnglish
Pages (from-to)635-637
Number of pages3
JournalProceedings of the American Mathematical Society
Volume125
Issue number3
Publication statusPublished - 1997
Externally publishedYes

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Holomorphic Semigroups
Laplace transforms
Boundary Value
C0-semigroup
Characterization Theorem
Laplace transform
If and only if
Operator
Concepts

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Boundary values of holomorphic semigroups. / Arendt, Wolfgang; El Mennaoui, Omar; Hieber, Matthias Georg.

In: Proceedings of the American Mathematical Society, Vol. 125, No. 3, 1997, p. 635-637.

Research output: Contribution to journal › Article

Arendt, W, El Mennaoui, O & Hieber, MG 1997, 'Boundary values of holomorphic semigroups', Proceedings of the American Mathematical Society, vol. 125, no. 3, pp. 635-637.
Arendt W, El Mennaoui O, Hieber MG. Boundary values of holomorphic semigroups. Proceedings of the American Mathematical Society. 1997;125(3):635-637.
Arendt, Wolfgang ; El Mennaoui, Omar ; Hieber, Matthias Georg. / Boundary values of holomorphic semigroups. In: Proceedings of the American Mathematical Society. 1997 ; Vol. 125, No. 3. pp. 635-637.
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