Note on semigroups generated by positive Rockland operators on graded homogeneous groups
Dziubański, Jacek ; Hebisch, Waldemar ; Zienkiewicz, Jacek
Studia Mathematica, Tome 108 (1994), p. 115-126 / Harvested from The Polish Digital Mathematics Library
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Let L be a positive Rockland operator of homogeneous degree d on a graded homogeneous group G and let pt 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 |p1(x)|≤Cexp(-cτ(x)d/(d-1)). Moreover, if G is not stratified, more precise estimates of p1 at infinity are given.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:216104 
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     title = {Note on semigroups generated by positive Rockland operators on graded homogeneous groups},
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     volume = {108},
     year = {1994},
     pages = {115-126},
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Dziubański, Jacek; Hebisch, Waldemar; Zienkiewicz, Jacek. Note on semigroups generated by positive Rockland operators on graded homogeneous groups. Studia Mathematica, Tome 108 (1994) pp. 115-126. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv110i2p115bwm/

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