臺灣大學數學系演講公告 博士生論文口試

Speaker：林俊良

Title：Metrical properties of functions in terms of various forms of weak differentiability

Abstract：A theorem of Stepanoff claims that approximate differentiability a.e. of a function u is equivalent to existence a.e. of approximate partial derivatives of the function; while Whitney proved that approximate differentiability a.e. of u is equivalent to the Lusin property of order 1. Federer then established that this is equivalent to u being approximately locally Lipschitz continuous a.e. We extend these results to the case of approximate Taylor-differentiability of general order γ which is not necessarily an inter.

Time：10:10, June. 18(Mon.), 2012

Place：Room 440, Astronomy and Mathematics Building, National Taiwan University(臺灣大學天文數學館440室)