Characteristic functions as bounded multipliers on anisotropic spaces

Characteristic functions as bounded multipliers on anisotropic spaces
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各向异性空间上作为有界乘子的特征函数

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发表时间:
2017
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通讯作者:
V. Baladi
V. Baladi
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作者:
V. Baladi

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在最近引入的各向异性Banach空间尺度$U^{t,s}_p$上,当条件-1+1/p<s<-t<0和-(r-1)+t<s,且1<p<infty时,证明了边界横截于稳定锥的域的特征函数是有界乘子。(2018年1月10日,根据裁判员和Jezequel先生的意见修改)
We show that characteristic functions of domains with boundaries transversal to stable cones are bounded multipliers on a recently introduced scale $U^{t,s}_p$ of anisotropic Banach spaces, under the conditions -1+1/p<s<-t<0 and -(r-1)+t<s, with 1<p<infty. (Amended after comments from the referee and M. Jezequel, January 10, 2018)