English

Kernel estimates for a class of fractional Kolmogorov operators

Dynamical Systems 2024-08-26 v1 Probability

Abstract

Assuming a weighted Nash type inequality for the generator A-A of a Markov semigroup, we prove a weighted Nash type inequality for its fractional power and deduce non-uniform bounds on the transition kernel corresponding to the Markov semigroup generated by Aα-A^\alpha.

Keywords

Cite

@article{arxiv.2408.12679,
  title  = {Kernel estimates for a class of fractional Kolmogorov operators},
  author = {Marianna Porfido and Abdelaziz Rhandi and Cristian Tacelli},
  journal= {arXiv preprint arXiv:2408.12679},
  year   = {2024}
}