Open Access
April, 1994 Strong Differential Subordination and Stochastic Integration
Donald L. Burkholder
Ann. Probab. 22(2): 995-1025 (April, 1994). DOI: 10.1214/aop/1176988738

Abstract

This paper contains sharp norm, maximal, escape and exponential inequalities for stochastic integrals in which the integrator is either a nonnegative submartingale or a nonnegative supermartingale. Analogous inequalities hold for Ito processes and for smooth functions on Euclidean domains.

Citation

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Donald L. Burkholder. "Strong Differential Subordination and Stochastic Integration." Ann. Probab. 22 (2) 995 - 1025, April, 1994. https://doi.org/10.1214/aop/1176988738

Information

Published: April, 1994
First available in Project Euclid: 19 April 2007

zbMATH: 0816.60046
MathSciNet: MR1288140
Digital Object Identifier: 10.1214/aop/1176988738

Subjects:
Primary: 60H05
Secondary: 31B05 , 60E15 , 60G42 , 60G46

Keywords: boundary value problems , conditional differential subordination , Differential subordination , escape inequality , Exponential inequality , martingale , maximal inequality , norm inequality , Semimartingale , stochastic integral , subharmonic function , superharmonic function

Rights: Copyright © 1994 Institute of Mathematical Statistics

Vol.22 • No. 2 • April, 1994
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