Home > Research > Publications & Outputs > A maximal theorem for holomorphic semigroups.

Research

Associated organisational unit

Electronic data

Links

Text available via DOI:

Keywords

View graph of relations

A maximal theorem for holomorphic semigroups.

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

Published

Standard

A maximal theorem for holomorphic semigroups. / Blower, Gordon; Doust, Ian.
In: The Quarterly Journal of Mathematics, Vol. 56, No. 1, 03.2005, p. 21-30.

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

Harvard

Blower, G & Doust, I 2005, 'A maximal theorem for holomorphic semigroups.', The Quarterly Journal of Mathematics, vol. 56, no. 1, pp. 21-30. https://doi.org/10.1093/qmath/hah024

APA

Blower, G., & Doust, I. (2005). A maximal theorem for holomorphic semigroups. The Quarterly Journal of Mathematics, 56(1), 21-30. https://doi.org/10.1093/qmath/hah024

Vancouver

Blower G, Doust I. A maximal theorem for holomorphic semigroups. The Quarterly Journal of Mathematics. 2005 Mar;56(1):21-30. doi: 10.1093/qmath/hah024

Author

Blower, Gordon ; Doust, Ian. / A maximal theorem for holomorphic semigroups. In: The Quarterly Journal of Mathematics. 2005 ; Vol. 56, No. 1. pp. 21-30.

Bibtex

@article{926925e5fdcb431289622442536bd937,
title = "A maximal theorem for holomorphic semigroups.",
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.",
keywords = "UMD Banach spaces, transference, functional calculus",
author = "Gordon Blower and Ian Doust",
note = "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",
year = "2005",
month = mar,
doi = "10.1093/qmath/hah024",
language = "English",
volume = "56",
pages = "21--30",
journal = "The Quarterly Journal of Mathematics",
issn = "0033-5606",
publisher = "Oxford University Press",
number = "1",

}

RIS

TY - JOUR

T1 - A maximal theorem for holomorphic semigroups.

AU - Blower, Gordon

AU - Doust, Ian

N1 - 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

PY - 2005/3

Y1 - 2005/3

N2 - 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.

AB - 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.

KW - UMD Banach spaces

KW - transference

KW - functional calculus

U2 - 10.1093/qmath/hah024

DO - 10.1093/qmath/hah024

M3 - Journal article

VL - 56

SP - 21

EP - 30

JO - The Quarterly Journal of Mathematics

JF - The Quarterly Journal of Mathematics

SN - 0033-5606

IS - 1

ER -