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Cesaro mean convergence of martingale differences in rearrangement invariant spaces

✍ Scribed by Sergey V. Astashkin; Nigel Kalton; Fyodor A. Sukochev


Publisher
Springer
Year
2008
Tongue
English
Weight
293 KB
Volume
12
Category
Article
ISSN
1385-1292

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✍ AndrΓ© Adler; Andrew Rosalsky; Andrej I. Volodin πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 393 KB

For weighted sums of the form Sn = Ejknl anj (Vnj--Cnj) where {anj, 1 <<.j<~kn < oo, n~> 1} are constants, {V~j, 1 <~j<~k~, n>~l} are random elements in a real separable martingale type p Banach space, and {cnj, 1 <<.j<~kn, n>>-1} are suitable conditional expectations, a mean convergence theorem and