非双倍测度的Marcinkiewicz积分高阶交换子的加权估计(英文)

卢盛栋; 江寅生

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非双倍测度的Marcinkiewicz积分高阶交换子的加权估计(英文)

更新时间：2026-01-21

- 非双倍测度的Marcinkiewicz积分高阶交换子的加权估计(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 30, Issue 1, Pages: 33-40(2013)
- 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： O177.6
- Published：2013
- 稿件说明：
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[1]卢盛栋,江寅生.非双倍测度的Marcinkiewicz积分高阶交换子的加权估计(英文)[J].新疆大学学报(自然科学版),2013,30(01):33-40.

卢盛栋, 江寅生. 非双倍测度的Marcinkiewicz积分高阶交换子的加权估计(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(1): 33-40.
[1]卢盛栋,江寅生.非双倍测度的Marcinkiewicz积分高阶交换子的加权估计(英文)[J].新疆大学学报(自然科学版),2013,30(01):33-40. DOI：

卢盛栋, 江寅生. 非双倍测度的Marcinkiewicz积分高阶交换子的加权估计(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2013, 30(1): 33-40. DOI：

摘要

通过Sharp极大函数估计

建立了在非双倍测度下Marcinkiewicz积分与RBMO(μ)函数生成的高阶交换子的弱型加权有界性。

Abstract

In this paper

by an estimate of Sharp maximal function

the weak type estimate with A ρ p(μ) weights is established for the higher order commutators generated by Marcinkiewicz integrals operators and RBMO(μ) functions

where μ is the non-doubling measure.

关键词

Keywords

references

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Hu G E,Lin H B,Yang D C.Marcinkiewicz integrals with non-doubling measures[J].Integr equ oper theory,2007,58:205-238.

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Komori Y.Weighted estimates for operators generated by maximal functions on non-homogeneous spaces[J].Georgian Math,2005,12:121-130.

Wang S B,Jiang Y S,Li B D.Weighted estimates for Marcinkiewicz integrals with non-doubling measures[J].J Math Research with Appl,2012,32(2):223-234

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卢盛栋.非双倍测度下Marcinkiewicz积分交换子的估计[D].乌鲁木齐:新疆大学,2012.

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Garcia-Cuerva J,Rubio de Francia J.Weighted norm inequalities and related topics[M].Amsterdam:North-Holland Publishing Co,1985.

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