Integral operators and weighted amalgams

Weighted norm inequalities for singular integral operators

Sharp Weighted Bounds for Fractional Integral Operators

The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp bounds are obtained for both the fractional integral operators and the associated fractional maximal functions. As an application improved Sobolev inequalities are obtained. Some of the techniques used include a sharp off-diagonal...

Weighted Composition Operators and Integral-Type Operators between Weighted Hardy Spaces on the Unit Ball

Weighted Frobenius-Perron and Koopman operators

Weighted Estimates for Bilinear Fractional Integral Operators and Their Commutators

In this paper we will prove several weighted estimates for bilinear fractional integral operators and their commutators with BMO functions. We also prove 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 A∞. As a corollary we are able to obtain new weighted esti...