Journal of Inequalities and Applications.
Springer International Publishing.
Vol. 2018.
2018.
We establish criteria for both boundedness and compactness for some classes of integral operators with logarithmic singularities in weighted Lebesgue spaces for cases 1 < p ≤ q < 8 and 1 < q < p < 8. As corollaries some corresponding new Hardy inequalities are pointed out. © ELEMEN , Zagreb.