Sub-Laplacians of holomorphic $L^{p}$-type on exponential Lie groups

Müller, Detlef

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 13 (2002), p. 259-270 / Harvested from Biblioteca Digitale Italiana di Matematica

Résumé

In this survey article, I shall give an overview on some recent developments concerning the $L^{p}$-functional calculus for sub-Laplacians on exponential solvable Lie groups. In particular, I shall give an outline on some recent joint work with W. Hebisch and J. Ludwig on sub-Laplacians which are of holomorphic $L^{p}$-type, in the sense that every $L^{p}$-spectral multiplier for $p \neq 2$ will be holomorphic in some domain.

Détail

Publié le : 2002-12-01

MR 1984105 | Zbl 1072.43005

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