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Holomorphic martingales and interpolation between Hardy spaces: the complex method

Author: P. F. X. Müller
Journal: Trans. Amer. Math. Soc. 347 (1995), 1787-1792
MSC: Primary 60G46; Secondary 42B30, 46E15, 46M35
MathSciNet review: 1264825
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Abstract: A probabilistic proof is given to identify the complex interpolation space of $ {H^1}(\mathbb{T})$ and $ {H^\infty }(\mathbb{T})$ as $ {H^p}(\mathbb{T})$.

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Keywords: Holomorphic martingales, complex interpolation method, Hardy spaces
Article copyright: © Copyright 1995 American Mathematical Society