Instructor: Marius Mitrea
Topics:
- Singular integrals of Calderon-Zygmund type
- Commutators and Muckenhoupt weights
- Pseudodifferential operators
- The nontangential maximal function and jump relations
- Elliptic PDE's and fundamental solutions
- Reduction to boundary integral equations
- Caccioppoli estimates and Rellich identities
- Smoothness spaces of Sobolev-Besov-Hardy type
- Atomic decompositions and estimates
- Well-posedness of the Poisson problem