A maximal theorem for holomorphic semigroups.

Blower, Gordon and Doust, Ian (2005) A maximal theorem for holomorphic semigroups. The Quarterly Journal of Mathematics, 56 (1). pp. 21-30. ISSN 0033-5606

Full text not available from this repository.
Official URL: 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:
Journal Article
Journal or Publication Title:
The Quarterly Journal of Mathematics
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:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
?? UMD BANACH SPACESTRANSFERENCEFUNCTIONAL CALCULUSMATHEMATICS(ALL)QA MATHEMATICS ??
ID Code:
1695
Deposited By:
Deposited On:
18 Feb 2008 09:53
Refereed?:
Yes
Published?:
Published
Last Modified:
29 Mar 2024 00:38