Criteria foe the boundedness and compactness of integral transforms with positive kernels

The necessary and sufficient conditions that guarantee the boundedness and compactness of integral operators with positive kernels from L-p(a, b) to L -v(q)(a, b), where p, q is an element of (1, infinity) or 0 < q <less than or equal to> 1 < p < infinity, for a non-negative Borel measure v on (a, b) are found.