Abel means of operator-valued processes
Blower, G.
Studia Mathematica, Tome 113 (1995), p. 261-276 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1995-01-01
EUDML-ID : urn:eudml:doc:216212 
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Blower, G. Abel means of operator-valued processes. Studia Mathematica, Tome 113 (1995) pp. 261-276. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv115i3p261bwm/

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