Sub-Laplacians of holomorphic L p -type on exponential Lie groups

Detlef Müller

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2002)

  • Volume: 13, Issue: 3-4, page 259-270
  • ISSN: 1120-6330

Abstract

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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 ≠ 2 will be holomorphic in some domain.

How to cite

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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 13.3-4 (2002): 259-270. <http://eudml.org/doc/252319>.

@article{Müller2002,
abstract = {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.},
author = {Müller, Detlef},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Solvable Lie group; Sub-Laplacian; Lebesgue space; Spectral multiplier},
language = {eng},
month = {12},
number = {3-4},
pages = {259-270},
publisher = {Accademia Nazionale dei Lincei},
title = {Sub-Laplacians of holomorphic $L^\{p\}$-type on exponential Lie groups},
url = {http://eudml.org/doc/252319},
volume = {13},
year = {2002},
}

TY - JOUR
AU - Müller, Detlef
TI - Sub-Laplacians of holomorphic $L^{p}$-type on exponential Lie groups
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2002/12//
PB - Accademia Nazionale dei Lincei
VL - 13
IS - 3-4
SP - 259
EP - 270
AB - 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.
LA - eng
KW - Solvable Lie group; Sub-Laplacian; Lebesgue space; Spectral multiplier
UR - http://eudml.org/doc/252319
ER -

References

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