The seminars in Mathematical Modeling and Analysis are aimed at researchers, employees, and students.
This week's seminar is given by Antti Perälä, Umeå University.
Title: Two-weight fractional derivatives
Abstract: The concept of a fractional derivative has a long history that can be traced back to the 18th century. For the purposes of this talk, the starting point is the 1932 work of Hardy and Littlewood, which was further developed by Zhu. Motivated by these ideas, we discuss a fractional derivative that is generated by two radial weights on the disk. Such derivatives can be of any positive real order, but also finer than this. We present some recent results demonstrating how these fractional derivatives can be used in analysis – and how they indeed possess properties similar to those of the classical derivatives.
