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author:

He, T.-J. (He, T.-J..) [1] | Hou, Y.-L. (Hou, Y.-L..) [2]

Indexed by:

Scopus CSCD

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.

Keyword:

Conditional quadratic variation; Quadratic variation; Tree martingale

Community:

  • [ 1 ] [He, T.-J.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou 35002, China
  • [ 2 ] [Hou, Y.-L.]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China

Reprint 's Address:

  • 何统军

    [He, T.-J.]College of Mathematics and Computer Science, Fuzhou University, Fuzhou 35002, China

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Source :

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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