Title: Vector valued maximal Carleson type operators on the weighted Lorentz spaces,
Abstract: In this paper, by using the idea of linearizing maximal op-erators originated
by Charles Fefferman and the TT* method of Stein-Wainger, we establish a
weighted inequality for vector valued maximal Carleson type operators with
singular kernels proposed by Andersen and John on the weighted Lorentz spaces
with vector-valued functions.