Fourier multipliers and integro-differential equations in Banach spaces

被引：55
作者：
Keyantuo, V
Lizama, C
机构：
[1] Univ Puerto Rico, Fac Nat Sci, Dept Math, Rio Piedras, PR 00931 USA
[2] Univ Santiago Chile, Fac Ciencias, Dept Matemat, Santiago, Chile
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2004年 / 69卷
关键词：
D O I：
10.1112/S0024610704005198
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Operator-valued Fourier multiplier theorems are used to establish maximal regularity results for an integro-differential equation with infinite delay in Banach spaces. Results are obtained under general conditions for periodic solutions in the vector-valued Lebesgue and Besov spaces. The latter scale includes in particular the Holder spaces C-alpha, 0 < a < 1.
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页码：737 / 750
页数：14
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