Herz型Triebel-Lizorkin空间和Herz型Besov空间上的粗糙核奇异积分(英文)

孙彦灵; 江寅生

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Herz型Triebel-Lizorkin空间和Herz型Besov空间上的粗糙核奇异积分(英文)

更新时间：2026-01-21

- Herz型Triebel-Lizorkin空间和Herz型Besov空间上的粗糙核奇异积分(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 28, Issue 1, Pages: 42-46(2011)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O177
- Published：2011
- 稿件说明：
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[1]孙彦灵,江寅生.Herz型Triebel-Lizorkin空间和Herz型Besov空间上的粗糙核奇异积分(英文)[J].新疆大学学报(自然科学版),2011,28(01):42-46+126.

孙彦灵, 江寅生. Herz型Triebel-Lizorkin空间和Herz型Besov空间上的粗糙核奇异积分(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(1): 42-46.
[1]孙彦灵,江寅生.Herz型Triebel-Lizorkin空间和Herz型Besov空间上的粗糙核奇异积分(英文)[J].新疆大学学报(自然科学版),2011,28(01):42-46+126. DOI：

孙彦灵, 江寅生. Herz型Triebel-Lizorkin空间和Herz型Besov空间上的粗糙核奇异积分(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2011, 28(1): 42-46. DOI：

摘要

研究由Th f(x)=Rn h(|x-y|)|x(x-y|yn)f(y)dy定义的粗糙核奇异积分算子Th在一些函数空间上的有界性

并分别证明了Th在Herz型Triebel-Lizorkin空间和Herz型Besov空间的有界性.

Abstract

In this paper

rough singular integral operator Th defined by Th f(x) = Rn h(|x-y|)Ω|x(|x-y|yn )f(y) dy is considered and its boundedness on the Herz-type Triebel-Lizorkin space K˙qα

pFβs(Rn) and Herz-type Besov space K˙qα

pBβs(Rn) is proved.

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references

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