Fourier multipliers and integro-differential equations in Banach spaces

被引：52

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.

引用

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页码：737 / 750

页数：14

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