# Abel means of operator-valued processes

Studia Mathematica (1995)

- Volume: 115, Issue: 3, page 261-276
- ISSN: 0039-3223

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topBlower, G.. "Abel means of operator-valued processes." Studia Mathematica 115.3 (1995): 261-276. <http://eudml.org/doc/216212>.

@article{Blower1995,

abstract = {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.},

author = {Blower, G.},

journal = {Studia Mathematica},

keywords = {Abel means; martingale transforms; subadditive ergodic theory; sequence of independent identically distributed random operators on a Banach space; Hardy and Lipschitz spaces; Fourier coefficients of random Taylor series with bounded martingale coefficients; Lipschitz and Bergman spaces},

language = {eng},

number = {3},

pages = {261-276},

title = {Abel means of operator-valued processes},

url = {http://eudml.org/doc/216212},

volume = {115},

year = {1995},

}

TY - JOUR

AU - Blower, G.

TI - Abel means of operator-valued processes

JO - Studia Mathematica

PY - 1995

VL - 115

IS - 3

SP - 261

EP - 276

AB - 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.

LA - eng

KW - Abel means; martingale transforms; subadditive ergodic theory; sequence of independent identically distributed random operators on a Banach space; Hardy and Lipschitz spaces; Fourier coefficients of random Taylor series with bounded martingale coefficients; Lipschitz and Bergman spaces

UR - http://eudml.org/doc/216212

ER -

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