A modified Φ-Sobolev inequality for canonical Lévy processes and its applications

A new modified Φ-Sobolev inequality for canonical ${L^{2}}$-Lévy processes, which are hybrid cases of the Brownian motion and pure jump-Lévy processes, is developed. Existing results included only a part of the Brownian motion process and pure jump processes. A generalized version of the Φ-Sobolev i...

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Bibliographic Details
Main Authors: Noriyoshi Sakuma, Ryoichi Suzuki
Format: Article
Language:English
Published: VTeX 2023-01-01
Series:Modern Stochastics: Theory and Applications
Subjects:
Online Access:https://www.vmsta.org/doi/10.15559/23-VMSTA220