Light PhD Seminar: Self-improving properties of generalized Poincaré inequalities

Title
Self-improving properties of generalized Poincaré inequalities

Abstract
In this talk we will discuss a geometrical method to obtain extensions of the classical Poincaré-Sobolev inequalities. These results can be seen as applications of the self- improving property of generalized Poincaré inequalities, which will be the content of the first part of the talk. In the second part we will see how to use these results to obtain higher order derivative and fractional Poincaré-Sobolev type inequalities.