Lecturer: Francesco Serra Cassano
Covering theorms and maximal function on metric spaces.
Lipischitz maps between metric spaces.
Classical Sobolev spaces and type Sobolev-Poincare' inequalities.
Sobolev spaces on metric spaces. Sobolev spaces equipped with Carnot-Caratheodory (C-C) metrics
A first approach to a Gemotric Measure Theory in a space eqipped with a C-C metric: isoperimetric inequality, coarea formula, reduced boundary.