Jean Bourgain's analytic partition of unity via holomorphic martingales

DOI10.2140/PJM.1995.169.161zbMATH Open0831.46057arXivmath/9204216OpenAlexW2070302746MaRDI QIDQ1902045

Paul F. X. Müller

Publication date: 18 February 1996

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/math/9204216

zbMATH Keywords

stopping timeholomorphic martingalesBourgain's analytic partition of unityMarcinkiewicz interpolation in weighted Hardy spaces

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Stopping times; optimal stopping problems; gambling theory (60G40) Martingales and classical analysis (60G46)

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