Standard
A maximal theorem for holomorphic semigroups on vector-valued spaces. /
Blower, Gordon; Doust, Ian; Taggart, Robert.
The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis : The Australian National University, Canberra, July 2009. ed. / Andrew Hassell; Alan McIntosh; Robert Taggart. Vol. 44 44. ed. Canberra: Australian National University, 2010. p. 105-114 (Proceedings of the Centre for Mathematics and its Applications).
Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSN › Chapter
Harvard
Blower, G, Doust, I & Taggart, R 2010,
A maximal theorem for holomorphic semigroups on vector-valued spaces. in A Hassell, A McIntosh & R Taggart (eds),
The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis : The Australian National University, Canberra, July 2009. 44 edn, vol. 44, Proceedings of the Centre for Mathematics and its Applications, Australian National University, Canberra, pp. 105-114. <
http://wwwmaths.anu.edu.au/research.publications/proceedings/044/>
APA
Blower, G., Doust, I., & Taggart, R. (2010).
A maximal theorem for holomorphic semigroups on vector-valued spaces. In A. Hassell, A. McIntosh, & R. Taggart (Eds.),
The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis : The Australian National University, Canberra, July 2009 (44 ed., Vol. 44, pp. 105-114). (Proceedings of the Centre for Mathematics and its Applications). Australian National University.
http://wwwmaths.anu.edu.au/research.publications/proceedings/044/
Vancouver
Blower G, Doust I, Taggart R.
A maximal theorem for holomorphic semigroups on vector-valued spaces. In Hassell A, McIntosh A, Taggart R, editors, The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis : The Australian National University, Canberra, July 2009. 44 ed. Vol. 44. Canberra: Australian National University. 2010. p. 105-114. (Proceedings of the Centre for Mathematics and its Applications).
Author
Blower, Gordon ; Doust, Ian ; Taggart, Robert. /
A maximal theorem for holomorphic semigroups on vector-valued spaces. The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis : The Australian National University, Canberra, July 2009. editor / Andrew Hassell ; Alan McIntosh ; Robert Taggart. Vol. 44 44. ed. Canberra : Australian National University, 2010. pp. 105-114 (Proceedings of the Centre for Mathematics and its Applications).
Bibtex
@inbook{03db9cc32cf0435eba5ca46092771e5b,
title = "A maximal theorem for holomorphic semigroups on vector-valued spaces.",
abstract = "Suppose that 1<p\leq \infty (\Omega ,\mu) is a \sigma finite measure space and E is a closed subspace of Labesgue Bochner space L^p(\Omega; E) consisting of function oon \Omega that take their values in some complex Banach space X. Suppose that -A is invertible and generates a bounded hlomorphic semigroup T_z on E. If 0<\alpha <1, and f belongs to the domain of A^\alpha, then the maximal function \sup_z|T_zf|, where the supremum is taken over any sector contained in the sector of holomorphy, belongs to L^p. This extends an earlier result of Blower and Doust.",
keywords = "Cauchy problem, sectorial operators",
author = "Gordon Blower and Ian Doust and Robert Taggart",
year = "2010",
language = "English",
isbn = "0 7315 5208 3",
volume = "44",
series = "Proceedings of the Centre for Mathematics and its Applications",
publisher = "Australian National University",
pages = "105--114",
editor = "Andrew Hassell and Alan McIntosh and Robert Taggart",
booktitle = "The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis : The Australian National University, Canberra, July 2009",
edition = "44",
}
RIS
TY - CHAP
T1 - A maximal theorem for holomorphic semigroups on vector-valued spaces.
AU - Blower, Gordon
AU - Doust, Ian
AU - Taggart, Robert
PY - 2010
Y1 - 2010
N2 - Suppose that 1<p\leq \infty (\Omega ,\mu) is a \sigma finite measure space and E is a closed subspace of Labesgue Bochner space L^p(\Omega; E) consisting of function oon \Omega that take their values in some complex Banach space X. Suppose that -A is invertible and generates a bounded hlomorphic semigroup T_z on E. If 0<\alpha <1, and f belongs to the domain of A^\alpha, then the maximal function \sup_z|T_zf|, where the supremum is taken over any sector contained in the sector of holomorphy, belongs to L^p. This extends an earlier result of Blower and Doust.
AB - Suppose that 1<p\leq \infty (\Omega ,\mu) is a \sigma finite measure space and E is a closed subspace of Labesgue Bochner space L^p(\Omega; E) consisting of function oon \Omega that take their values in some complex Banach space X. Suppose that -A is invertible and generates a bounded hlomorphic semigroup T_z on E. If 0<\alpha <1, and f belongs to the domain of A^\alpha, then the maximal function \sup_z|T_zf|, where the supremum is taken over any sector contained in the sector of holomorphy, belongs to L^p. This extends an earlier result of Blower and Doust.
KW - Cauchy problem
KW - sectorial operators
M3 - Chapter
SN - 0 7315 5208 3
VL - 44
T3 - Proceedings of the Centre for Mathematics and its Applications
SP - 105
EP - 114
BT - The AMSI-ANU Workshop on Spectral Theory and Harmonic Analysis : The Australian National University, Canberra, July 2009
A2 - Hassell, Andrew
A2 - McIntosh, Alan
A2 - Taggart, Robert
PB - Australian National University
CY - Canberra
ER -
