A Hardy Inequality In Some Unbounded Region

This paper mainly studies two problems based on the traditional Hardy in-equality. Firstly, in two-dimensional sector, a Hardy inequality shaped like:(δ(x)=dist(x,(?)Ω)). How the formula of the coefficient of this kind of remainder is like.We mainly use the method about the half plane that Jesper Tidblm used in2005. We select different vector domain F(x) to carry on the corresponding calculation in two-dimensional sector to get the more general conclusion.In addition, we study when the p changes, the coefficient of1/4dimensional plane. Based on the same method that we mentioned above...