Add to ORKGNash or Sobolev inequalities are known to be equivalent to ultracontractive properties of Markov semigroups, hence to uniform bounds on their kernel densities. In this work we present a simple and extremely general method, based on weighted Nash inequalities, to obtain non-uniform bounds on the kernel densities. Such bounds imply a control on the trace or the Hilbert-Schmidt norm of the heat kernels. We illustrate the method on the heat kernel on $\dR$ naturally associated with the measure with density $C_a\exp(-|x|^a)$, with $1ou
ABSTRACT. We reconsider estimates for the heat kernel on weighted graphs recently found by Metzger a...
AbstractWe prove a certain inequality for a subsolution of the heat equation associated with a regul...
In this note, we prove global weighted Sobolev inequalities on non-compact CD(0, N) spaces satisfyin...
Nash or Sobolev inequalities are known to be equivalent to ultracontractive prop-erties of Markov se...
International audienceNash or Sobolev inequalities are known to be equivalent to ultracontractive pr...
Nash and Sobolev inequalities are known to be equivalent to ultracontractive properties of heat-like...
International audienceWe introduce anchored versions of the Nash inequality. They allow to control t...
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
AbstractWe obtain global heat kernel bounds for semigroups which need not be ultracontractive by tra...
The local Nash inequality is introduced as a natural extension of the classical Nash inequality yiel...
We use an elementary method to obtain Nash-type inequalities for nonlocal Dirichlet forms on $ d $-s...
We prove a variety of estimates for the heat kernel on domains with discrete space and discrete time...
AbstractWe obtain the equivalence conditions for an on-diagonal upper bound of heat kernels on self-...
Abstract. We prove a certain inequality for a subsolution of the heat equation associated with a reg...
ABSTRACT. We reconsider estimates for the heat kernel on weighted graphs recently found by Metzger a...
AbstractWe prove a certain inequality for a subsolution of the heat equation associated with a regul...
In this note, we prove global weighted Sobolev inequalities on non-compact CD(0, N) spaces satisfyin...
Nash or Sobolev inequalities are known to be equivalent to ultracontractive prop-erties of Markov se...
International audienceNash or Sobolev inequalities are known to be equivalent to ultracontractive pr...
Nash and Sobolev inequalities are known to be equivalent to ultracontractive properties of heat-like...
International audienceWe introduce anchored versions of the Nash inequality. They allow to control t...
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
On doubling metric measure spaces endowed with a strongly local regular Dirichlet form, we show some...
AbstractWe obtain global heat kernel bounds for semigroups which need not be ultracontractive by tra...
The local Nash inequality is introduced as a natural extension of the classical Nash inequality yiel...
We use an elementary method to obtain Nash-type inequalities for nonlocal Dirichlet forms on $ d $-s...
We prove a variety of estimates for the heat kernel on domains with discrete space and discrete time...
AbstractWe obtain the equivalence conditions for an on-diagonal upper bound of heat kernels on self-...
Abstract. We prove a certain inequality for a subsolution of the heat equation associated with a reg...
ABSTRACT. We reconsider estimates for the heat kernel on weighted graphs recently found by Metzger a...
AbstractWe prove a certain inequality for a subsolution of the heat equation associated with a regul...
In this note, we prove global weighted Sobolev inequalities on non-compact CD(0, N) spaces satisfyin...