- Applying the Calderon-Zygmund theory of singular integral equations for the Hilbert transform, the Riesz transforms, and the double layer potential potential.
- Deriving existence and regularity results for Dirichlet boundary value problems and Cauchy-Neumann problems from the Calderon-Zygmund theory.
- Proving main theorems on the continuity of singular integral operators arising in applied harmonic analysis.
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Hilbert transform, Riesz transforms, and the potential of the double layer. Calderon-Zygmund theory, its main theorems, and applications in potential theory and harmonic analysis.
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