Lp identities and inequalities related to certain Levy proceses

Speaker(s)

Katarzyna Pietruska-Pałuba

Affiliation

Uniwersytet Warszawski

Date

Nov. 10, 2022, 12:15 p.m.

Room

room 3160

Seminar

Seminar of Probability Group

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I will present recent results, concerned with generators and forms (acting on Lp) related to Levy processes. We establish the Hardy-Stein identity in Lp and related multivariate identities. If time permits, we will also present the optimal Hardy inequality for stable processes. All these results require the Lp-counterpart of the usual Dirichlet form of the process, which will be introduced beforehand.

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