Resumen de On the two weights problem for the Hilbert transform

Nets Hawk Katz, M. C. Pereyra

• In this paper, we prove sufficient conditions on pairs of weights (u,v) (scalar, matrix or operator valued) so that the Hilbert transform H f(x) = p.v. ? [f(y) / x - y] dy, is bounded from L2(u) to L2(v).