Boundary values of holomorphic semigroups

Wolfgang Arendt, Omar El Mennaoui, Matthias Georg Hieber

Research output: Contribution to journalArticlepeer-review

18 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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Boundary values of holomorphic semigroups'. Together they form a unique fingerprint.

Cite this