Abel means of operator-valued processes

• Autorzy: G. Blower
• Języki publikacji: EN

Abstrakty

EN

Let $(X_j)$ 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.

Słowa kluczowe

EN

Abel means; martingale transforms; subadditive ergodic theory

Kategorie tematyczne

• 60G46: Martingales and classical analysis
• 47B80: Random operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1995
• Tom: 115
• Numer: 3
• Strony: 261-276

Daty

wydano

1995

otrzymano

1994-10-13

poprawiono

1995-01-10

Twórcy

autor

G. Blower

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

Bibliografia

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