Spectra of Generalized Bochner-Riesz Means on Weighted Spaces
Spectra of Generalized Bochner-Riesz Means on Weighted Spaces
复制标题
加权空间上的广义Bochner-Riesz均值谱
DOI：
10.1080/01630563.2019.1578793
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发表时间：
2019
影响因子：
1.2
通讯作者：
Tao Xiangxing
中科院分区：
文献类型：
--
作者：
Fang Qiquan;Tao Xiangxing
本文引入了一类广义Bochner-Riesz平均，并证明了它们在加权Lp空间上的谱是整个复平面或某些的区间.我们还将上述谱性质推广到加权Triebel-Lizorkin空间、加权Besov空间和加权Herz空间。
In this paper, we introduce a family of generalized Bochner–Riesz means and show that their spectra on weightedLpspaces,, are either the whole complex plane or the intervalfor some. Also we extend the above spectral property to weighted Triebel–Lizorkin spaces, weighted Besov spaces, and weighted Herz spaces.