TITLE:
On Maximal Regularity and Semivariation of α-Times Resolvent Families*
AUTHORS:
Fubo Li, Miao Li
KEYWORDS:
α-Times Resolvent Family; Maximal Regularity; Semivariation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.3 No.8,
November
27,
2013
ABSTRACT:
Let and A be the generator of an -times resolvent family on a Banach space X. It is shown that
the fractional Cauchy problem has maximal regularity on if and only if is of bounded semivariation on .