Affiliation:
1. School of Mathematics and Statistics Central South University Changsha Hunan China
2. School of Mathematics and Statistics University of NSW Sydney Australia
Abstract
AbstractThe purpose of this paper is to provide distributional estimates for the series of the form with being elements from noncommutative Lorentz spaces and being Rademacher functions. To this end, we introduce a novel class of operators that are closely related to the dual Cesáro operator and construct a new extrapolation theorem that is of independent interest.
Funder
National Natural Science Foundation of China
China Postdoctoral Science Foundation
China Scholarship Council
Australian Research Council