Ebook: Hardy-type inequalities

This provides a discussion of Hardy-type inequalities. They play an important role in various branches of analysis such as approximation theory, differential equations, theory of function spaces etc. The one-dimensional case is dealt with almost completely. Various approaches are described and some extensions are given (eg the case of estaimates involving higher order derivatives, or the dependence on the class of funcions for which the inequality should hold). The N-dimensional case is dealt with via the one-dimensional case as well as by using appropriate special approaches.