CRITERIA OF CONTINUITY AND CALCULATION OF NORMS FOR SINGULAR INTEGRAL OPERATORS

Vasile NEAGU Universitatea de Stat din Moldova

Abstract

In this paper criteria of continuity for singular integral operators in different spaces with weights are established, some results when the contour of integration is unbounded and has angular points are systematized and generalized. It is shown that essential norms of singular operators depend not only on the space but also on the measures of the angles, formed by the contour of integration in its angular points. Keywords: singular integral operator, noetherian operator, symbol.