Fourier Multipliers and Integro‐Differential Equations in Banach Spaces
Fourier Multipliers and Integro‐Differential Equations in Banach Spaces
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DOI：
10.1112/s0024610704005198
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发表时间：
2004-06
期刊：
影响因子：
--
通讯作者：
V. Keyantuo;C. Lizama
中科院分区：
文献类型：
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作者：
V. Keyantuo;C. Lizama
利用算子值Fourier乘子定理建立了Banach空间中一类无穷时滞积分微分方程的极大正则性结果.在向量值Lebesgue和Besov空间中周期解的一般条件下得到了结果。后一种尺度特别包括Hölder空间Cα，0 < α < 1。
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 Hölder spaces Cα, 0 < α < 1.