Mastering the basic methods and techniques relating to singular integral operators.
Applying them as solution operators (double layer potentials) and as parametrix of
elliptic PDE.
Subject
Interpolation of operatoren, Hilbert transform, Riesz transforms,
Fourier Multipliers, Littlewood Paley Theorie.
David Journee theorem
Boundary layer potential
Regularity estimates for Poisson Problems
Criteria for evaluation
Exam
Methods
Real and harmonic Analysis. Geometric Measure theory
Language
German
Study material
Mueller/Kindermann Skriptum Singulaere Integraloperatoren E. M. Stein Harmonic Analysis