Fourier multipliers for Holder continuous functions and maximal regularity
Fourier multipliers for Holder continuous functions and maximal regularity
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DOI：
10.4064/sm160-1-2
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发表时间：
2001
影响因子：
0.8
通讯作者：
W. Arendt;C. Batty;Shangquan Bu
中科院分区：
文献类型：
--
作者：
W. Arendt;C. Batty;Shangquan Bu
证明了两个算子值傅里叶乘数定理，一个是周期定理，另一个是线性定理。与lp -情况相反，它们适用于任意的巴拿赫空间。因此，Holder意义上的极大正则性可以用基础算子的简单解析估计来表征。
Two operator-valued Fourier multiplier theorems for Holder spaces are proved, one periodic, the other on the line. In contrast to the L p -situation they hold for arbitrary Banach spaces. As a consequence, maximal regularity in the sense of Holder can be characterized by simple resolvent estimates of the underlying operator.