关于复合算子T°d°G的高阶可积性研究

Study on Higher Integrability of Composition Operator T°d°G

摘要: 本文研究了满足A-调和方程的微分形式高阶可积性问题。文中利用微分形式的Hölder不等式及同仑算子与格林算子的相关结果首先证明了1

Abstract: In this paper, we have studied higher order integrability for differential forms satisfying A-harmonic equation. Based on Hölder inequality of differential forms and some results of Ho-motopy operator and Green’s operator, we first establish local higher order integrability for compo-sition operator T°d°G applied to differential forms satisfying A-harmonic equation with the con-dition 1

文章引用：李群芳. 关于复合算子T°d°G的高阶可积性研究[J]. 应用数学进展, 2023, 12(11): 4798-4805. https://doi.org/10.12677/AAM.2023.1211473

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