Gi. Kresin et Vg. Mazya, THE NORM AND THE ESSENTIAL NORM OF THE DOUBLE-LAYER ELASTIC AND HYDRODYNAMIC POTENTIALS IN THE SPACE OF CONTINUOUS-FUNCTIONS, Mathematical methods in the applied sciences, 18(14), 1995, pp. 1095-1131
We study a class of matrix integral operators which appear as limit va
lues of the double layer potentials. We find general representations f
or the norms and for the essential norms of such operators in the spac
e of continuous vector-valued functions. These representations are spe
cified for boundary integral operators of linear isotropic elasticity
theory and hydrodynamics of viscous incompressible fluid under the ass
umption that there is an angle point on the boundary of a plane domain
and a conic point or an edge on the boundary of a three-dimensional d
omain.