1 Introduction  
2 Preliminaries and Notation  
3 The double layer potential on the boundary of Lipschitz and \(C^{1}\) domains  
4 The double layer potential on the boundary of domains of class \(C^{1,\alpha}\) with \(\alpha \in ]0,1[\).  
5 The double layer potential on the boundary of domains of class \(C^{1,1}\) and \(C^{2}\).  
6 The double layer potential on the boundary of domains of class \(C^{m,\alpha}\) with \(m \geq 2, \alpha \in ]0,1[\).  
7 An integral operator associated to the conormal derivative of a single layer potential  
8 Examples of measures in which the lower Ahlfors regularity condition and the doubling condition are violated