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Multipliers for semigroups.

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Multipliers for semigroups. / Blower, Gordon.
In: Proceedings of the Edinburgh Mathematical Society, Vol. 39, No. 2, 06.1996, p. 241-252.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Blower, G 1996, 'Multipliers for semigroups.', Proceedings of the Edinburgh Mathematical Society, vol. 39, no. 2, pp. 241-252. https://doi.org/10.1017/S0013091500022975

APA

Blower, G. (1996). Multipliers for semigroups. Proceedings of the Edinburgh Mathematical Society, 39(2), 241-252. https://doi.org/10.1017/S0013091500022975

Vancouver

Blower G. Multipliers for semigroups. Proceedings of the Edinburgh Mathematical Society. 1996 Jun;39(2):241-252. doi: 10.1017/S0013091500022975

Author

Blower, Gordon. / Multipliers for semigroups. In: Proceedings of the Edinburgh Mathematical Society. 1996 ; Vol. 39, No. 2. pp. 241-252.

Bibtex

@article{b50fd2dfbd94437b9687c878ca27b70f,
title = "Multipliers for semigroups.",
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<∞.",
author = "Gordon Blower",
note = "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, {\textcopyright} 1996 Cambridge University Press.",
year = "1996",
month = jun,
doi = "10.1017/S0013091500022975",
language = "English",
volume = "39",
pages = "241--252",
journal = "Proceedings of the Edinburgh Mathematical Society",
issn = "0013-0915",
publisher = "Cambridge University Press",
number = "2",

}

RIS

TY - JOUR

T1 - Multipliers for semigroups.

AU - Blower, Gordon

N1 - 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.

PY - 1996/6

Y1 - 1996/6

N2 - 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<∞.

AB - 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<∞.

U2 - 10.1017/S0013091500022975

DO - 10.1017/S0013091500022975

M3 - Journal article

VL - 39

SP - 241

EP - 252

JO - Proceedings of the Edinburgh Mathematical Society

JF - Proceedings of the Edinburgh Mathematical Society

SN - 0013-0915

IS - 2

ER -