Blower, Gordon (1996) *Multipliers for semigroups.* Proceedings of the Edinburgh Mathematical Society, 39 (2). pp. 241-252. ISSN 0013-0915

Official URL: http://dx.doi.org/10.1017/S0013091500022975

## Abstract

Let L be a positive invertible self-adjoint operator in L2(X;C). Using transference methods for locally bounded groups of operators we obtain multipliers for the group of complex powers Liu on vector-valued Lebesgue spaces. Using a Mellin inversion formula, we derive a sufficient condition for a function to be a multiplier of the semigroup e-tL on Lp(X;E) where E is a UMD Banach space and 1<p<∞.

Item Type: | Article |
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Journal or Publication Title: | Proceedings of the Edinburgh Mathematical Society |

Additional Information: | http://journals.cambridge.org/action/displayJournal?jid=PEM The final, definitive version of this article has been published in the Journal, Proceedings of the Edinburgh Mathematical Society, 39 (2), pp 241-252 1996, © 1996 Cambridge University Press. |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 19522 |

Deposited By: | ep_ss_importer |

Deposited On: | 14 Nov 2008 11:07 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 03 Dec 2016 01:18 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/19522 |

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