On a problem of Zygmund |
| |
| Authors: | A M Stokolos |
| |
| Institution: | (1) Institute of Mathematics, Economics, and Mechanics, Odessa State University, USSR |
| |
| Abstract: | It is proved that there exists an integrable function on 0, 1]2 whose integral is nondifferentiable in each direction belonging to a set everywhere dense in 0, 2π] but is strongly differentiable.
Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 749–762, November, 1998. |
| |
| Keywords: | Zygmund problem the Jessen-Marcinkiewicz-Zygmund theorem strong differentiability integrable function |
| 本文献已被 SpringerLink 等数据库收录！ |
|
