Note on semigroups generated by positive Rockland operators on graded homogeneous groups
Jacek Dziubański, Waldemar Hebisch, Jacek Zienkiewicz (1994)
Studia Mathematica
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Let L be a positive Rockland operator of homogeneous degree d on a graded homogeneous group G and let be the convolution kernels of the semigroup generated by L. We prove that if τ(x) is a Riemannian distance of x from the unit element, then there are constants c>0 and C such that . Moreover, if G is not stratified, more precise estimates of at infinity are given.