Jean Bourgain's analytic partition of unity via holomorphic martingales

Details Jean Bourgain's analytic partition of unity via holomorphic martingales Jean Bourgain's analytic partition of unity via holomorphic martingales

1992-04-27

arxiv.org/abs/math/9204216v1

Mathematics

Functional Analysis

Scientific paper

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.

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