paper

Vector valued maximal Carleson type operators on the weighted Lorentz spaces

arXiv:1707.00092

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.

Vector valued maximal Carleson type operators on the weighted Lorentz spaces · wovepaper