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^α.
Kernel estimates for a class of fractional Kolmogorov operators
Marianna Porfido;Abdelaziz Rhandi
;Cristian Tacelli
2026
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^α.File in questo prodotto:
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