Singular Integral Operators
We present in this chapter the definition and the main properties of the singular integral operator. These results are quite classical and were first studied by Giraud  in France and then Calderon and Zygmund in the United States and Michlin in Russia. The present exposition uses some ideas of the notes of V. Neri and the book of E.M. Stein . We establish some continuity results in Sobolev spaces for a class of singular integral operators and then deduce similar properties for the integral operators that we have encountered in the previous chapter.
KeywordsIntegral Operator Compact Support Taylor Expansion Helmholtz Equation Singular Integral Operator
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