变指标Fofana空间及其预对偶空间

杨凡; 周疆

doi:10.13568/j.cnki.651094.651316.2023.01.19.0001

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变指标Fofana空间及其预对偶空间

数理科学 | 更新时间：2026-01-21

- 变指标Fofana空间及其预对偶空间
- 变指标Fofana空间及其预对偶空间
- 新疆大学学报（自然科学版中英文） 2023年40卷第5期页码：565-581
- 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：
  
  国家自然科学基金“基于混合范数函数空间上的算子及交换子性质研究”（12061069）
- DOI：10.13568/j.cnki.651094.651316.2023.01.19.0001
  中图分类号： O177
- 纸质出版：2023
- 稿件说明：
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[1]杨凡,周疆.变指标Fofana空间及其预对偶空间[J].新疆大学学报(自然科学版)(中英文),2023,40(05):565-581.
[1]杨凡,周疆.变指标Fofana空间及其预对偶空间[J].新疆大学学报(自然科学版)(中英文),2023,40(05):565-581. DOI： 10.13568/j.cnki.651094.651316.2023.01.19.0001.

DOI：10.13568/j.cnki.651094.651316.2023.01.19.0001.

摘要

通过引入变指标Fofana空间(L~(p(·))

Lqα)(Rn)(1

Abstract

By introducing variable Fofana's spaces(Lp(·)

Lq)α(Rn)(1 < p(·) < ∞

1 ≤ q

α ≤ ∞) and their pre-dual spaces

we discussed the properties of those spaces. Meanwhile

via applying hierarchical decomposition of function and real variable techniques

the necessary and sufficient conditions for boundedness of fractional integral operators and their commutators on variable Fofana's spaces are obtained.

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references

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