Title of article
Asymptotic behaviour of -semigroups and γ-boundedness of the resolvent
Author/Authors
van Neerven، نويسنده , , Jan، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2009
Pages
9
From page
380
To page
388
Abstract
Let X be a Banach space with type p and cotype q, and let A be the infinitesimal generator of a C 0 -semigroup on X. We show that if the resolvent of A has a γ-bounded analytic extension to C + , then A has negative fractional growth bound of order 1 p − 1 q .
Keywords
C 0 -semigroup , Fractional growth bound , ?-boundedness , ?-radonifying operator , Stochastic Cauchy problem , Type , cotype , Fourier type
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2009
Journal title
Journal of Mathematical Analysis and Applications
Record number
1560445
Link To Document