Functional inequalities for time-changed symmetric \(\alpha \)-stable processes

DOI10.1007/s11464-021-0908-7zbMath1477.60117OpenAlexW3138987571MaRDI QIDQ2048180

Jian Wang, Longteng Zhang

Publication date: 5 August 2021

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-021-0908-7

zbMATH Keywords

time changefunctional inequalitysymmetric \(\alpha \)-stable process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Local time and additive functionals (60J55) Transition functions, generators and resolvents (60J35) Jump processes on general state spaces (60J76)

Cites Work

• On fractional Poincaré inequalities
• Hitchhiker's guide to the fractional Sobolev spaces
• Large deviations for multi-scale jump-diffusion processes
• Functional spaces for the theory of elliptic partial differential equations. Transl. from the French by Reinie Erné
• Ergodicity for time-changed symmetric stable processes
• Intrinsic ultracontractivity for general Lévy processes on bounded open sets
• Weighted Poincaré inequality and heat kernel estimates for finite range jump processes
• Upper bounds for symmetric Markov transition functions
• Fractional Caffarelli-Kohn-Nirenberg inequalities
• Heat kernel estimates for an operator with unbounded diffusion coefficients in \(\mathbb R\) and \(\mathbb R^{2}\)
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• Elliptic operators with unbounded diffusion coefficients in $L^p$ spaces
• Eigenvalues, Inequalities, and Ergodic Theory
• Analysis and Geometry of Markov Diffusion Operators