Vol. 169, No. 1, 1995

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Jean Bourgain’s analytic partition of unity via holomorphic martingales

Paul F.X. Müller

Vol. 169 (1995), No. 1, 161–171
Abstract

Using stopping time arguments on holomorphic martingales we present a soft way of constructing J. Bourgain’s analytic partition of unity. Further applications to Marcinkiewicz interpolation in weighted Hardy spaces are discussed.

Mathematical Subject Classification 2000
Primary: 46J15
Secondary: 46E15, 60G42
Milestones
Received: 12 November 1992
Published: 1 May 1995
Authors
Paul F.X. Müller