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arXiv · 2408.12679

Kernel estimates for a class of fractional Kolmogorov operators

Marianna Porfido·Abdelaziz Rhandi·Cristian Tacelli
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Abstract

Assuming a weighted Nash type inequality for the generator $-A$ 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 $-A^\alpha$.

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Marianna Porfido, Abdelaziz Rhandi, Cristian Tacelli. 2024-08-22. Kernel estimates for a class of fractional Kolmogorov operators. https://arxiv.org/abs/2408.12679

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