Título: Some norm estimates for semimartingales
Autores: Pham, Triet; Rutgers University
Zhang, Jianfeng; University of Southern California
Fecha: 2013-01-04
Publicador: Electronic journal of probability
Fuente:
Tipo: Peer-reviewed Article
Tema: Semimartingale, quasimartingale, $G$-expectation, second order backward SDEs, doubly reflected backward SDEs, Doob-Meyer decompostition
60G46, 60H10, 60H30
Descripción: In this paper we introduce a new type of norms for semimartingales, under both linear and nonlinear expectations. Our norm is defined in the spirit of  quasimartingales, and it characterizes square integrable semimartingales. This work is motivated by our study of zero-sum stochastic differential games, whose value process is conjectured to be a semimartingale under a class of probability measures.  As a by product, we establish some a priori estimates for doubly reflected BSDEs without imposing  the  Mokobodski's condition directly.
Idioma: Inglés

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