具有n次梯度可积函数的振荡

褚玉明;方爱农

数学学报 ›› 2003, Vol. 46 ›› Issue (5) : 961-964.

中国科学院数学与系统科学研究院期刊网
数学学报 ›› 2003, Vol. 46 ›› Issue (5) : 961-964. DOI: 10.12386/A2003sxxb0128
论文

具有n次梯度可积函数的振荡

    褚玉明;方爱农
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The Oscillation of Functions with L~n-Integrable Gradient

    Yu Ming CHU(1),Ai Nong FANG(2)
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摘要

本文采用纯分析的方法和技巧,将函数的条件从拟共形映射降为具有ACL性质,得到了具有n次梯度可积函数的几个振荡不等式。

Abstract

In this paper, we reduce the condition of functions from quasiconformality to ACL property by applining pure analytic method and technique, we obtain several oscillation inequalities of functions with ACL property and Ln-integrable gradient.

关键词

振荡 / 拟共形映射 / ACL性质

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褚玉明;方爱农. 具有n次梯度可积函数的振荡. 数学学报, 2003, 46(5): 961-964 https://doi.org/10.12386/A2003sxxb0128
Yu Ming CHU(1),Ai Nong FANG(2). The Oscillation of Functions with L~n-Integrable Gradient. Acta Mathematica Sinica, Chinese Series, 2003, 46(5): 961-964 https://doi.org/10.12386/A2003sxxb0128

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