Аннотация:
First of all I will present some of the prehistory until G.H. Hardy presented his famous inequality in 1925 (the discrete version was known already 1921). After that I will briefly mention some selected results in the dramatic further development as described e.g. in the books [1] and [3] and the Lecture Notes [2]. In particular, I have chosen to present an easy proof and its consequences, some situations when we can prove that the constants are sharp, alternative conditions (to the Muckenhoupt-Bradley condition) to characterize Hardy-type inequalities (indeed infinite many such conditions even so called scales of conditions) and similar results involving more general operators and function spaces (than weighted Lebesgue spaces). I will finish the lecture by presenting some Pers(s)onally chosen results after 2017 I judge have potential to be good starting points for the further development of this intellectual adventure for the next decennium and why not for the next sekel.
Язык доклада: английский
|
