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A+ CATEGORY SCIENTIFIC UNIT

Abel means of operator-valued processes

Volume 115 / 1995

G. Blower Studia Mathematica 115 (1995), 261-276 DOI: 10.4064/sm-115-3-261-276

Abstract

Let be a sequence of independent identically distributed random operators on a Banach space. We obtain necessary and sufficient conditions for the Abel means of X_n...X_2 X_1 to belong to Hardy and Lipschitz spaces a.s. We also obtain necessary and sufficient conditions on the Fourier coefficients of random Taylor series with bounded martingale coefficients to belong to Lipschitz and Bergman spaces.

Authors

  • G. Blower

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