Blower, Gordon and Doust, Ian (2005) A maximal theorem for holomorphic semigroups. Quarterly Journal of Mathematics (Oxford), 56 (1). pp. 21-30.
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Official URL: http://dx.doi.org/10.1093/qmath/hah024
Abstract
Let X be a closed linear subspace of the Lebesgue space L^p(Omega ; mu); let -A be an invertible linear operator that is the generator of abounded holomorphic semigroup T_t on X. The for each 0<a<1 the maximal operator sup |T_tf(x)| belongs to L^p for each f in the domain of A^a. If moreover iA generates a bounded C_0 group and A has spectrum contained in the positive real semi axis, then A has a bounded H infinity functional calculus.
| Item Type: | Article |
|---|---|
| Journal or Publication Title: | Quarterly Journal of Mathematics (Oxford) |
| Additional Information: | The definitive publisher-authenticated version: Blower, Gordon and Doust, Ian A maximal theorem for holomorphic semigroups. Quarterly Journal of Mathematics (Oxford) 2005 56 (1): 21-30 is available online at: http://qjmath.oxfordjournals.org/cgi/reprint/56/1/21 |
| Uncontrolled Keywords: | UMD Banach spaces ; transference ; functional calculus |
| Subjects: | Q Science > QA Mathematics |
| Departments: | Faculty of Science and Technology > Mathematics and Statistics |
| ID Code: | 1695 |
| Deposited By: | Professor Gordon Blower |
| Deposited On: | 18 Feb 2008 09:53 |
| Refereed?: | Yes |
| Published?: | Published |
| Last Modified: | 26 Jul 2012 15:17 |
| Identification Number: | |
| URI: | http://eprints.lancs.ac.uk/id/eprint/1695 |
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