Lp-theory of a boundary intelgral equation on a cuspidal contour

Abstract

A boundary integral equation of the first kind in the logarithmic potential theory is studied under the assumption that the contour has a peak. We find a pair of funcation spaces such that the conresponding operator maps one of them onto another. We describe also the kerenel of the operator and find a condition for the triviality of this kernel.

Additional information

Notes on contributors

V. Maz'ya

A. Soloviev