关于多线性奇异积分的估计

涛 钱

doi:10.1360/za1984-14-7-613

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关于多线性奇异积分的估计

涛钱

Year: 1984 Journal: Science in China Series A-Mathematics Physics Astronomy & Technological Science (in Chinese) Vol: 14 (7)Pages: 613-623 Publisher: Science China Press

DOI: 10.1360/za1984-14-7-613

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Abstract

对,记其中P_mi+1(a_i,x,y)记a_i的在y点展开的第m_i+1阶Taylor级数余项,m_i≥1,m=(m₁,…,m_n),|m|=∑m_i. Ω:R^K→C是在单位球面上满足Lipschitz条件的零次齐次函数,并使得T_*^m+1满足一个有界性条件. 本文的结果如下: 1)C为一个常数. 2)T^m+1(a,f)(x)a.e.存在. 3)对T_*^m+1存在Muckenhoupt类的加权估计.

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Physics

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Differential Equations and Boundary Problems

Physical Sciences → Mathematics → Applied Mathematics

Spectral Theory in Mathematical Physics

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Nonlinear Differential Equations Analysis

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关于多线性奇异积分的估计

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