Vector-valued inequalities with weights
Vector-valued inequalities with weights
This paper deals with the following problem:Let T be a given operator .Find conditions on v(x) (resp.u(x)) such that fITf(x)IPu(x)dx < C J If(x)IPv(x)dx is satisfied for some u(x) (resp.v(x)) .Using vector-valued inequalities the problem is solved for: Carleson's maximal operator of Fourier partial sums, Littlewood-Paley square functions, Hilbert transform …