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Abstract:
In this paper we study tree martingales and proved that if 1 ≤ α, β < ∞, 1 ≤ p < ∞ then for every predictable tree martingale f = (f t, t T) and E[σ (P)(f)] < ∞, E[ S (P)(f)] < ∞, it holds that ∥(S t(p) (f), t ε T∥Mα∞ ≤ C αβ∥f∥Pαβ, ∥(σt(p) (f), t ε T∥ Mα∞ ≤ Cαβ∥f∥ Pαβ where C αβ depends only on α and β. © Springer-Verlag 2005.
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Acta Mathematicae Applicatae Sinica
ISSN: 0168-9673
CN: 11-2041/O1
Year: 2005
Issue: 4
Volume: 21
Page: 671-682
0 . 9 0 0
JCR@2023
ESI Discipline: MATHEMATICS;
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count: 5
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 6
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