Estimates for the norm of pseudo-differential operators by means of Besov spaces

Estimates for the norm of pseudo-differential operators by means of Besov spaces
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通过贝索夫空间估计伪微分算子的范数

DOI:
10.1007/bfb0077749
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发表时间:
1987
期刊:
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影响因子:
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通讯作者:
Tosinobu Muramatu
Tosinobu Muramatu
中科院分区:
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文献类型:
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作者:
Tosinobu Muramatu

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本文将说明我们的Besov空间理论,特别是”分布正则化”的刻画,是研究伪微分算子有界性的一个非常有用的工具。采用这种方法,可以将符号的正则性假设改进到极致。例如,考虑Cordes的结果([4],定理B1);
In this paper we shall explain that our theory of Besov spaces, in particular characterization by" regularization of distribution", is one of very useful tools to study boundedness of pseudo-differential operators. Adopting this method, we can improve the regularity assumption on symbols to the extreme. For example, consider Cordes' results ([4], Theorem B1);