Hausdorff算子的双权范数估计（英文）

杨帅; 李宝德

doi:10.13568/j.cnki.651094.651316.2022.11.12.0001

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Hausdorff算子的双权范数估计（英文）

数理科学 | 更新时间：2026-01-21

- Hausdorff算子的双权范数估计（英文）
- Hausdorff算子的双权范数估计（英文）
- 新疆大学学报（自然科学版中英文） 2023年40卷第4期页码：398-404
- 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：
  
  supported by the Natural Science Foundation of Xinjiang Uygur Autonomous Region of China “Function spaces adapted to multi-level anisotropic ellipsoid covers and the boundedness of related operators”(2020D01C048);the National Natural Science Foundation of the People's Republic of China “Real-variable theory of variable exponential functions on anisotropic Euclidean spaces and its applications”(12261083)
- DOI：10.13568/j.cnki.651094.651316.2022.11.12.0001
  中图分类号： O177
- 纸质出版：2023
- 稿件说明：
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[1]杨帅,李宝德.Hausdorff算子的双权范数估计（英文）[J].新疆大学学报(自然科学版)(中英文),2023,40(04):398-404.
[1]杨帅,李宝德.Hausdorff算子的双权范数估计（英文）[J].新疆大学学报(自然科学版)(中英文),2023,40(04):398-404. DOI： 10.13568/j.cnki.651094.651316.2022.11.12.0001.

DOI：10.13568/j.cnki.651094.651316.2022.11.12.0001.

摘要

Hausdorff算子的核函数在满足一定条件时

其在加权Lebesgue空间上的双权不等式已经被建立．研究了定义在R+上的Hausdorff算子

当Hausdorff算子的核函数在更弱的条件下仍能建立相应的双权不等式

并给出了满足这种条件的具体核函数的例子．

Abstract

Two-weight inequalities for Hausdorff operators have been established in weighted Lebesgue spaces under certain assumptions of kernel function. We study the Hausdorff operators of special kind on the real line R+ and also establish corresponding two-weight inequalities under weaker assumptions of kernel function. Then we give some specific examples that satisfy these conditions of kernel function.

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references

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