Jean Bourgain's analytic partition of unity via holomorphic martingales
Functional Analysis
2016-09-06 v1
Abstract
Using stopping time arguments on holomorphic martingales we present a soft way of constructing J. Bourgain's analytic partitions of unity. Applications to Marcinkiewicz interploation in weighted Hardy spaces are discussed.
Keywords
Cite
@article{arxiv.math/9204216,
title = {Jean Bourgain's analytic partition of unity via holomorphic martingales},
author = {Paul F. X. Müller},
journal= {arXiv preprint arXiv:math/9204216},
year = {2016}
}