Higher Integrability of the Composite Operator T  D  G  for Differential Forms

ZHAOPengfei; BIShujuan; LIUZhenjie

doi:10.15938/j.jhust.2023.03.018

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Higher Integrability of the Composite Operator T D G for Differential Forms

更新时间：2026-08-31

- Higher Integrability of the Composite Operator T D G for Differential Forms
- Vol. 28, Issue 3, Pages: 144-148(2023)
- 作者机构：
  
  哈尔滨学院信息工程学院,哈尔滨,150080
- 作者简介：
- 基金信息：
- DOI：10.15938/j.jhust.2023.03.018
  CLC： O175.3
- Published：2023
- 稿件说明：
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ZHAOPengfei, BIShujuan, LIUZhenjie. Higher Integrability of the Composite Operator T D G for Differential Forms[J]. 2023, 28(3): 144-148.
DOI：

ZHAOPengfei, BIShujuan, LIUZhenjie. Higher Integrability of the Composite Operator T D G for Differential Forms[J]. 2023, 28(3): 144-148. DOI： 10.15938/j.jhust.2023.03.018.

摘要

利用微分形式的Poincaré-Sobolev不等式证明了当1pn时复合算子TDG的高阶LP可积性

然后进一步讨论了p≥n的情形

获得了复合算子的高阶范数估计

并利用该结果对Lp可积微分形式证明了局部加权范数不等式成立。

Abstract

We firstly prove the higher integrability of the composite operator T D G by using Poincaré-Sobolev inequalities when 1 p n. Then further consider the case of p ≥ n and obtain the higher order norm estimation of composite operators

by which the weighted norm inequality for Lp integrable differential forms is proved.

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