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Multipliers for semigroups.

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

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    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
    Journal or Publication Title: Proceedings of the Edinburgh Mathematical Society
    Additional Information: 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: 07 Jan 2015 13:12
    Identification Number:

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