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ArticleOriginal scientific text

Title

Abel means of operator-valued processes

Authors 1

Affiliations

  1. Department of Mathematics and Statistics, Lancaster University, Lancaster LA1 4YF, England

Abstract

Let (Xj) be a sequence of independent identically distributed random operators on a Banach space. We obtain necessary and sufficient conditions for the Abel means of Xn...X2X1 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.

Keywords

ENG
Abel means, martingale transforms, subadditive ergodic theory

Bibliography

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Studia Mathematica
1995/115/3
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Pages:
261-276
Main language of publication
English
Received
1994-10-13
Accepted
1995-01-10
Published
1995
Exact and natural sciences