%0 Journal Article
%T On a measure of non-compactness for singular integrals
%A Alexander Meskhi
%J Journal of Function Spaces and Applications
%D 2003
%I Hindawi Publishing Corporation
%R 10.1155/2003/927590
%X It is proved that there exists no weight pair (v, w) for which a singular integral operator is compact from the weighted Lebesgue space Lwp(Rn) to Lvp(Rn). Moreover, a measure of non-compatness for this operator is estimated from below. Analogous problems for Cauchy singular integrals defined on Jordan smooth curves are studied.
%U http://www.hindawi.com/journals/jfsa/2003/927590/abs/