arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1102.2511math.CA
收藏

关于Hilger导数与Radon-Nikodym导数之间的联系

On the connection between the Hilger and Radon--Nikodym derivatives

Jonathan Eckhardt, Gerald Teschl

摘要:

我们证明了在时间尺度上的Hilger导数是Radon-Nikodym导数关于与每个时间尺度相关联的自然测度的一个特例。此外,我们表明,δ绝对连续性的概念同意从测度论在这种情况下。

英文摘要:

We show that the Hilger derivative on time scales is a special case of the Radon--Nikodym derivative with respect to the natural measure associated with every time scale. Moreover, we show that the concept of delta absolute continuity agrees with the one from measure theory in this context.

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。

↑