6533b86dfe1ef96bd12ca218

RESEARCH PRODUCT

Weighted bounded mean oscillation applied to backward stochastic differential equations

Stefan GeissJuha Ylinen

subject

Statistics and ProbabilityApplied MathematicsProbability (math.PR)010102 general mathematicsMathematical analysis01 natural sciencesBSDEsBounded mean oscillationdecoupling010104 statistics & probabilityStochastic differential equationvärähtelytQuadratic equationJohn-Nirenberg theoremtail estimatesModeling and Simulation60H10 60G99FOS: MathematicsDecoupling (probability)weighted bounded mean oscillation0101 mathematicsdifferentiaaliyhtälötMathematics - Probabilitystokastiset prosessitMathematics

description

Abstract We deduce conditional L p -estimates for the variation of a solution of a BSDE. Both quadratic and sub-quadratic types of BSDEs are considered, and using the theory of weighted bounded mean oscillation we deduce new tail estimates for the solution ( Y , Z ) on subintervals of [ 0 , T ] . Some new results for the decoupling technique introduced in Geiss and Ylinen (2019) are obtained as well and some applications of the tail estimates are given.

yearjournalcountryeditionlanguage
2015-01-06Stochastic Processes and their Applications
https://doi.org/10.1016/j.spa.2019.10.007