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Jean Bourgain's analytic partition of unity via holomorphic martingales

Paul F. X. Müller
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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.

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Paul F. X. Müller. 1992-04-27. Jean Bourgain's analytic partition of unity via holomorphic martingales. https://arxiv.org/abs/math/9204216

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