Add to ORKGAbstract. We show that a near-diagonal lower bound of the heat kernel of a Dirichlet form on a metric measure space with a regular measure implies an on-diagonal upper bound. If in addition the Dirichlet form is local and regular then we obtain a full off-diagonal upper bound of the heat kernel provided the Dirichlet heat kernel on any ball satisfies a near-diagonal lower estimate. This reveals a new phenomenon in the relationship between the lower and upper bounds of the heat kernel. Content
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
Bendikov A, Grigoryan A, Hu E, Hu J. Heat kernels and non-local Dirichlet forms on ultrametric space...
Abstract. In this paper we prove that sub-Gaussian estimates of heat kernels of regular Dirichlet fo...
Abstract. We show that a near-diagonal lower bound of the heat kernel of a Dirichlet form on a metri...
Grigoryan A, Hu E, Hu J. Lower estimates of heat kernels for non-local Dirichlet forms on metric mea...
Abstract. We investigate off-diagonal upper bounds of heat kernels for local regular Dirichlet forms...
Grigoryan A, Hu J. Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric...
Abstract. We give equivalent characterizations for off-diagonal upper bounds of the heat kernel of a...
Abstract. We give equivalent characterizations for off-diagonal upper bounds of the heat kernel of a...
This paper studies strongly local symmetric Dirichlet forms on general measure spaces. The underlyin...
Abstract. In this paper we present new heat kernel upper bounds for a certain class of non-local reg...
Grigoryan A, Hu J, Lau K-S. ESTIMATES OF HEAT KERNELS FOR NON-LOCAL REGULAR DIRICHLET FORMS. Transac...
AbstractWe prove a certain inequality for a subsolution of the heat equation associated with a regul...
Abstract. We prove a certain inequality for a subsolution of the heat equation associated with a reg...
Grigoryan A, Hu J, Lau K-S. Comparison inequalities for heat semigroups and heat kernels on metric m...
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
Bendikov A, Grigoryan A, Hu E, Hu J. Heat kernels and non-local Dirichlet forms on ultrametric space...
Abstract. In this paper we prove that sub-Gaussian estimates of heat kernels of regular Dirichlet fo...
Abstract. We show that a near-diagonal lower bound of the heat kernel of a Dirichlet form on a metri...
Grigoryan A, Hu E, Hu J. Lower estimates of heat kernels for non-local Dirichlet forms on metric mea...
Abstract. We investigate off-diagonal upper bounds of heat kernels for local regular Dirichlet forms...
Grigoryan A, Hu J. Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric...
Abstract. We give equivalent characterizations for off-diagonal upper bounds of the heat kernel of a...
Abstract. We give equivalent characterizations for off-diagonal upper bounds of the heat kernel of a...
This paper studies strongly local symmetric Dirichlet forms on general measure spaces. The underlyin...
Abstract. In this paper we present new heat kernel upper bounds for a certain class of non-local reg...
Grigoryan A, Hu J, Lau K-S. ESTIMATES OF HEAT KERNELS FOR NON-LOCAL REGULAR DIRICHLET FORMS. Transac...
AbstractWe prove a certain inequality for a subsolution of the heat equation associated with a regul...
Abstract. We prove a certain inequality for a subsolution of the heat equation associated with a reg...
Grigoryan A, Hu J, Lau K-S. Comparison inequalities for heat semigroups and heat kernels on metric m...
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
Bendikov A, Grigoryan A, Hu E, Hu J. Heat kernels and non-local Dirichlet forms on ultrametric space...
Abstract. In this paper we prove that sub-Gaussian estimates of heat kernels of regular Dirichlet fo...