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

Müller, Detlef:
Sub-Laplacians of holomorphic $L^{p}$-type on exponential Lie groups
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni Serie 9 13 (2002), fasc. n.3-4, p. 259-270, (English)
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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.

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Referenze Bibliografiche