Add to ORKGAbstract. We use an elementary method to obtain Nash-type inequalities for non-local Dirichlet forms on d-sets. We obtain two-side estimates for the corresponding heat kernels if the walk dimensions of heat kernels are less than 2; these estimates are obtained by combining probabilistic and analytic methods. Our arguments partly simplify those i
The local Nash inequality is introduced as a natural extension of the classical Nash inequality yiel...
Abstract. In this paper we show that Dirichlet heat kernel estimates for a class of (not necessarily...
International audienceWe introduce anchored versions of the Nash inequality. They allow to control t...
We use an elementary method to obtain Nash-type inequalities for nonlocal Dirichlet forms on $ d $-s...
Grigoryan A, Hu J, Lau K-S. ESTIMATES OF HEAT KERNELS FOR NON-LOCAL REGULAR DIRICHLET FORMS. Transac...
This paper studies strongly local symmetric Dirichlet forms on general measure spaces. The underlyin...
Grigoryan A, Hu E, Hu J. Lower estimates of heat kernels for non-local Dirichlet forms on metric mea...
Bendikov A, Grigoryan A, Hu E, Hu J. Heat kernels and non-local Dirichlet forms on ultrametric space...
With direct and simple proofs, we establish Poincaré type inequalities (including Poincaré...
Abstract. We show that a near-diagonal lower bound of the heat kernel of a Dirichlet form on a metri...
Abstract. In this paper we give various equivalent characterizations of upper estimates of heat kern...
Abstract. We show that a near-diagonal lower bound of the heat kernel of a Dirichlet form on a metri...
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
Abstract. In this paper we give various equivalent characterizations of upper estimates of heat kern...
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
The local Nash inequality is introduced as a natural extension of the classical Nash inequality yiel...
Abstract. In this paper we show that Dirichlet heat kernel estimates for a class of (not necessarily...
International audienceWe introduce anchored versions of the Nash inequality. They allow to control t...
We use an elementary method to obtain Nash-type inequalities for nonlocal Dirichlet forms on $ d $-s...
Grigoryan A, Hu J, Lau K-S. ESTIMATES OF HEAT KERNELS FOR NON-LOCAL REGULAR DIRICHLET FORMS. Transac...
This paper studies strongly local symmetric Dirichlet forms on general measure spaces. The underlyin...
Grigoryan A, Hu E, Hu J. Lower estimates of heat kernels for non-local Dirichlet forms on metric mea...
Bendikov A, Grigoryan A, Hu E, Hu J. Heat kernels and non-local Dirichlet forms on ultrametric space...
With direct and simple proofs, we establish Poincaré type inequalities (including Poincaré...
Abstract. We show that a near-diagonal lower bound of the heat kernel of a Dirichlet form on a metri...
Abstract. In this paper we give various equivalent characterizations of upper estimates of heat kern...
Abstract. We show that a near-diagonal lower bound of the heat kernel of a Dirichlet form on a metri...
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
Abstract. In this paper we give various equivalent characterizations of upper estimates of heat kern...
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
The local Nash inequality is introduced as a natural extension of the classical Nash inequality yiel...
Abstract. In this paper we show that Dirichlet heat kernel estimates for a class of (not necessarily...
International audienceWe introduce anchored versions of the Nash inequality. They allow to control t...