6533b856fe1ef96bd12b33aa

RESEARCH PRODUCT

Malliavin smoothness on the Lévy space with Hölder continuous or BV functionals

Eija Laukkarinen

subject

Lévy processMalliavin calculusinterpolointiinterpolationstokastiset prosessit

description

We consider Malliavin smoothness of random variables f(X1), where X is a purejump Lévy process and the functionfis either bounded and Hölder continuousor of bounded variation. We show that Malliavin differentiability and fractional differentiability off (X1) depend both on the regularity offand the Blumenthal-Getoor index of the Lévy measure. peerReviewed

http://urn.fi/URN:NBN:fi:jyu-202006114131