Sharp Weighted Bounds for Fractional Integral Operators in a Space of Homogeneous Type
Sharp Weighted Bounds for Fractional Integral Operators in a Space of Homogeneous Type
We consider a version of M. Riesz fractional integral operator on a space of homogeneous type and show an analogue of the well-known Hardy-Littlewood-Sobolev theorem in this context. In our main result, we investigate the dependence of the operator norm on weighted spaces on the weight constant, and find the …