WEIGHTED ESTIMATES FOR BILINEAR FRACTIONAL INTEGRAL OPERATORS AND THEIR COMMUTATORS

Abstract. In this talk we will discuss about several weighted estimates for bilinear fractional integral operators and their commutators with BMO functions. We also show maximal function control theorem for these operators,
that is, we prove the weighted Lp norm is bounded by the weighted Lp norm
of a natural maximal operator when the weight belongs to A1.