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Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces

โœ Scribed by Edmunds, David E.; Gurka, Petr; Opic, Bohumir

Book ID
118057000
Publisher
Indiana University Mathematics Journal
Year
1995
Tongue
English
Weight
252 KB
Volume
44
Category
Article
ISSN
0022-2518

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It is proved that a C 0 -semigroup T=[T(t)] t 0 of linear operators on a Banach space X is uniformly exponentially stable if and only if it acts boundedly on one of the spaces L p (R + , X) or C 0 (R + , X) by convolution. As an application, it is shown that T is uniformly exponentially stable if an