On boundedness and compactness of a certain class of kernel operators

摘要

New conditions forLp[0,∞)-Lq[0,∞)boundedness and compactness(1<p, q<∞)of the mapf→w(x)∫a(x)b(x)k(x,y)f(y)v(y)dywith locally integrable weight functionsv,wand a positive continuous kernelk(x,y)from the Oinarov’s class are obtained.