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华侨大学学报(自然科学版) 2006

闭区间上Zygmund函数的延拓定理

DOI: 10.3969/j.issn.1000-5013.2006.02.002, PP. 119-122

王朝祥,黄心中

Keywords: Zygmund函数,拟共形变形,拟共形映照,延拓

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Abstract:

设f(x)是闭区间I上的连续函数,f(x)为I上的Zygmund函数.如果存在常数C≥0,使得f(x)满足|f(x+t)-2f(x)+f(x-t)|0成立.可将其延拓成上的Zygmund函数的充分条件,并估计其范数‖f‖z.

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