IDENTIFICATION OF EXTRAPOLATION SPACES FOR UNBOUNDED OPERATORS
作者:
Rainer Nagel,
Gregor Nickel,
Silvia Romanelli,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1996)
卷期:
Volume 19,
issue 1-2
页码: 83-100
ISSN:1607-3606
年代: 1996
DOI:10.1080/16073606.1996.9631827
出版商: Taylor & Francis Group
关键词: 47D06
数据来源: Taylor
摘要:
Abstract extrapolation spaces for strongly continuous semigroups of linear operators on Banach spaces have been constructed by various methods (see, e.g., [Am (1988)], [DaP-Gr (1984)], [Na (1983)], [Ne (1992)], [Wa (1986)]). Usually they appear as “artefacts” used in some intermediate step in order to solve the Cauchy problem on the original space. Only in a few cases (see the papers by the Dutch school onX⊙*, e.g., [Ne (1992)]), and in sharp contrast to the situation for interpolation spaces (see, e.g., [Gr (1969)], [DiB (1991)], [Lu (1985)], [Ac-Te (1987)]), the extrapolation spaces have been identified in a concrete way. It is our intention to fill this gap and subsequently to give an application of the extrapolation method to a perturbation problem.
点击下载:
PDF (619KB)
返 回