MATH 823 - Geometric Function and Measure Theory I

Topics include general measure theory, covering theorems, Hausdorff measure, area and coarea formulas, distributions, Sobolev spaces, Poincare’ inequalities, embeddings theorem, changes of variables, extentions, and capacity. Applications include quasiconformal and quasiregular maps in IR^IN and analysis on fractals.

Credits: (3)

Requisites:
Pr.: MATH 821.

When Offered:
Fall