Variants of the Maurey-Rosenthal theorem for quasi K"othe function spaces
Functional Analysis
2016-09-07 v1
Abstract
The Maurey-Rosenthal theorem states that each bounded and linear operator T from a quasi normed space E into some L_p(\nu) which satisfies a certain vector-valued inequality even allows a weighted norm inequality. Continuing the work of Garcia Cuerva and Rubio de Francia we give several scalar and vector-valued variants of this fundamental result within the framework of quasi K"othe function spaces over measure spaces.
Cite
@article{arxiv.math/9908111,
title = {Variants of the Maurey-Rosenthal theorem for quasi K"othe function spaces},
author = {Andreas Defant},
journal= {arXiv preprint arXiv:math/9908111},
year = {2016}
}