arXivDaily arXiv每日学术速递 周一至周五更新
北美退伍军人节(Veterans Day),12 日无更新
arXiv 1607.07029math.AP
收藏

本文综述了下调和函数、分离下调和函数、调和函数、分离调和函数和全纯函数的可去性结果

Removability results for subharmonic functions, for separately subharmonic functions, for harmonic functions, for separately harmonic functions and for holomorphic functions, a survey

Juhani Riihentaus

摘要:

首先改进了Blanchet等人关于下调和函数的一个延拓结果,在此基础上给出了关于下调和函数、分别下调和函数、调和函数、分别调和函数和全纯函数的延拓结果.我们对全纯函数的结果与Besicovitch和Shiffman的著名推广结果至少在某种意义上是相关的。此外,我们还记得另一个,稍微相关的和以前的全纯函数的扩展结果。

英文摘要:

We begin with an improvement to an extension result for subharmonic functions of Blanchet et al. With the aid of this improvement we then give extension results for subharmonic functions, for separately subharmonic functions, for harmonic functions, for separately harmonic functions and for holomorphic functions. Our results for holomorphic functions are related to Besicovitch's and Shiffman's well-known extension results, at least in some sense. Moreover, we recall another, slightly related and previous extension result for holomorphic functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑