INTEGRAL OPERATORS OF POTENTIAL TYPE AND THEIR BOUNDARY PROPERTIES
R K Seĭfullaev · Sbornik Mathematics · 1994
The properties of integral operators of the form a domain in , , and of singular integral operators of the form are studied in the particular case when lies in the hyperplane . General methods are used to obtain estimates of the modulus of continuity of the operator in terms of the continuity of the density, partical moduli of continuity of the characteristic , , and also characteristics describing the smoothness of or its edge (it is assumed that the kernel is homogeneous of degree with respect to ).Bibliography: 44 titles.