A SUBMARTINGALE INEQUALITY

In this paper, we extend Burkholder's exponential inequality for a strong subordinate of a nonnegative bounded submartingale.

Colooque Paul Levy sur les processus stochastiques Asterisque v.157-158 Sharp inequality for martingales and stochastic integrals D. L. Burkholder
Ann. Probab. v.22 Strong differential subordination and stochastic integration D. L. Burkholder
Proceeding of A. M. S. v.124 A submartingale inequality C. S. Choi
Probability Theory Y. S. Chow
Classical and New Inequalities in Analysis D. S. Mitrinovic