RT Journal Article
T1 Eigenvalues of Weakly Singular Integral-Operators
A1 Cobos Díaz, Fernando
A1 Kühn, Thomas
AB We determine the asymptotic order of decay of eigenvalues of weakly singular integral operators. The singularities are of quite general form, containing power and logarithmic terms. We give a unified elementary proof of all known results in this area. Our approach applies also in the case where the power order of the singularity is equal to the dimension of the domain and the logarithmic order is less than — 1. This case has not been considered previously. Furthermore, we show the optimality of the upper estimates in a rather strong sense. In particular, we give a partial positive answer to the conjecture of [3].
PB Oxford University Press
SN 0024-6107
YR 1990
FD 1990
LK https://hdl.handle.net/20.500.14352/57284
UL https://hdl.handle.net/20.500.14352/57284
LA eng
NO Ministerio de Educación, Formación Profesional y Deportes (España) - Programa "Estancias de Cienti'ficos y Tecnólogos Extranjeros en España"
DS Docta Complutense
RD 24 abr 2026