带有LMO系数椭圆方程组的加权h1的内估计

张霖, 江寅生, 唐林

数学学报 ›› 2010, Vol. 53 ›› Issue (5) : 911-924.

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数学学报 ›› 2010, Vol. 53 ›› Issue (5) : 911-924. DOI: 10.12386/A2010sxxb0102
论文

带有LMO系数椭圆方程组的加权h1的内估计

    张霖1,2, 江寅生2, 唐林3
作者信息 +

Interior Weighted h1 Estimate for Elliptic Equations with LMO Coefficients

    Lin ZHANG1,2, Yin Sheng JIANG2, Lin TANG3
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文章历史 +

摘要

在本文中,我们通过奇异积分及其交换子的估计建立了带有LMO消失系数的椭圆方程组在有限区域的加权h1的先验估计.

 

Abstract

In this paper, we establish a priori weighted h1-estimate in a bounded domain for a elliptic equations with vanishing LMO coefficients via a corresponding estimate for the commutator of a singular integral with an LMO function.

 

关键词

加权hardy空间 / 奇异积分及其交换子 / 二阶椭圆方程

Key words

weighted hardy spaces / singular integral / commutator second order elliptic equations

引用本文

导出引用
张霖, 江寅生, 唐林. 带有LMO系数椭圆方程组的加权h1的内估计. 数学学报, 2010, 53(5): 911-924 https://doi.org/10.12386/A2010sxxb0102
Lin ZHANG, Yin Sheng JIANG, Lin TANG. Interior Weighted h1 Estimate for Elliptic Equations with LMO Coefficients. Acta Mathematica Sinica, Chinese Series, 2010, 53(5): 911-924 https://doi.org/10.12386/A2010sxxb0102

参考文献


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基金

国家自然科学基金资助项目(10861010)

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