On boundedness and compactness of a certain class of kernel operators
Elena P. Ushakova1
Academic Editor: Oleg V. Besov
Received01 Jan 2009
Abstract
New conditions for Lp[0,∞)-Lq[0,∞) boundedness and compactness (1<p,q<∞) of the map f→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dy with locally integrable weight functions v,w and a positive continuous kernel k(x,y) from the Oinarov’s class are obtained.